Download or read book Law of Included Multiple Middle Principle of Dynamic Neutrosophic Opposition written by Florentin Smarandache and published by Infinite Study. This book was released on 2014 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the author pledges for the generalization of the Lupasco-Nicolescu’s Law of Included Middle [, , and a third value which resolves their contradiction at another level of reality] to the Law of Included Multiple-Middle [, , and , where is split into a multitude of neutralities between and , such as , , etc.]. The value (i.e. neutrality or indeterminacy related to ) actually comprises the included middle value. Further, similarly to the extension from dialectics to neutrosophy, the author extends the Principle of Dynamic Opposition [opposition between and ] to the Principle of Dynamic Neutrosophic Opposition [which means oppositions among , , and ]. Explanation: The following dialogues are a compilation of different dialogues I had – during the years – on neutrosophy and related topics with academic colleagues, mostly by email. As they were non-protocol dialogues, initially not intended for publication, I invented a fictional character (somehow resurrected from Plato’s dialogues), Filokratos, and put in his mouth opinions, ideas, questions, comments expressed by academic fellows, in a collective spirit. Many thanks to all friends and dialogue partners who paid attention to neutrosophy and connected areas.

Download or read book The Dynamic Interplay of Opposites in Zoroastrianism written by Florentin Smarandache and published by Infinite Study. This book was released on 2024-01-01 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: This exploration addresses some aspects of Zoroastrianism, examining how the ancient Persian belief system aligns with the dynamic and indeterminate principles of Fuzzy, Neutrosophic, and MultiAlist systems. Zoroastrianism, rooted in the eternal struggle between good and evil, light and darkness, exhibits parallels with Neutrosophy's acknowledgment of indeterminacy, incompleteness, and the dynamic interplay of opposites. The prophet Zarathustra's vision of a neutrosophic God challenges conventional notions of divine attributes, emphasizing a dynamic and evolving universe. Before investigating these vague areas, the concept of unclear conceptual borders is explored, emphasizing the indeterminacy and imprecision inherent in defining opposites or partially opposite concepts. The law of included infinitely-many-middles suggests that between opposites, there exist infinitely many nuances or middle values. Sorites' paradoxes challenge traditional logic by exposing the difficulties in defining vague boundaries. Neutrosophic Interpretation suggests introducing a buffer zone between opposites, resulting in Neutrosophic Sorites Paradoxes. Moreover, this exploration highlights the need for a more flexible and nuanced understanding of conceptual boundaries, acknowledging the dynamic and indeterminate nature of many philosophical and logical constructs. Finally, we delve into the application of neutrosophy to various cultural and philosophical concepts. The legendary figure of Gilgamesh, described as two-thirds god and one-third human, is examined through both traditional and neutrosophic perspectives. Additionally, Hindu concepts of Dharma, Adharma, and Karma are reexamined within the context of neutrosophy. The logic of the Diamond Sutra in Mahayana Buddhism, characterized by paradoxical language and a focus on emptiness, aligns with neutrosophic principles in challenging fixed notions and embracing the interconnected and indeterminate aspects of reality. Despite diverse cultural origins, these examples share a common thread in questioning absolutes and embracing the dynamic nature of existence.

Download or read book Neutrosophic Sets and Systems Vol VI written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of ten papers and a review of a book, written by different authors and co-authors (listed in the order of the papers): F. Yuhua, P. K. Maji, A. A. Salama, H. Elghawalby, A. Mukherjee, M. Datta, F. Smarandache,K. Mondal, S. Pramanik, M. Ali, L. Vladareanu, M. Shabir, S. Broumi, S. Ye, J. Ye, S. Sarkar, D. Gifu and M. Teodorescu. In first paper, the author proposed Pauli Exclusion Principle and the Law of Included Multiple-Middle. Weighted Neutrosophic Soft Sets are proposed in the second paper. Neutrosophic Crisp Sets and Neutrosophic Crisp Relations are studied in third paper. In fourth paper, Interval Valued Neutrosophic Soft Topological Spaces are introduced. Similarly in fifth paper, Multi-criteria Group Decision Making Approach for Teacher Recruitment in Higher Education Under Simplified Neutrosophic Environment is discussed. In paper six, Generalization of Soft Neutrosophic Rings and Soft Neutrosophic Fields are presented by the authors. Neutrosophic Refined Similarity Measure Based on Cosine Function is given in seventh paper. Paper eight is about to study Similarity Measure between Single Valued Neutrosophic Multisets and Its Application in Medial Diagnosis. In the next paper Several Similarity Measures of Interval Valued Neutrosophic Soft Sets and Their Application in Pattern Recognition Problems are discussed. The authors introduced Soft Neutrosophic Groupoids and Their Generalization in the tenth paper. At the end a book review, Neutosophic routes in multiverse of communication is presented by the authors.

Download or read book Neutrosophic Sets and Systems vol 6 2014 written by F. Yuhua and published by Infinite Study. This book was released on with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.

Download or read book The Basic Notions for over off under Neutrosophic Geometric Programming Problems written by Huda E. Khalid and published by Infinite Study. This book was released on 2018-07-01 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic (over, off, under) set and logic were defined for the first time in 1995 by Florentin Smarandache, and presented during 1995-2018 to various national and international conferences and seminars. The (over, off, under) neutrosophic geometric programming was put forward by Huda et al. in (2016), in an attempt to define a new type of geometric programming using (over, off, under) neutrosophic less than or equal to. This paper completes the basic notions of (over, off, under) neutrosophic geometric programming illustrating its convexity condition, and its decomposition theorems. The definitions of (α, β, γ) and strong (α, β, γ) are introduced, and some of their important properties are proved.

Download or read book Neutrosophic Sets and Systems An International Book Series in Information Science and Engineering vol 22 2018 written by Florentin Smarandache and published by Infinite Study. This book was released on 2018 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.

Download or read book Neutrosophic Graph Theory and Algorithms written by Smarandache, Florentin and published by IGI Global. This book was released on 2019-10-25 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph theory is a specific concept that has numerous applications throughout many industries. Despite the advancement of this technique, graph theory can still yield ambiguous and imprecise results. In order to cut down on these indeterminate factors, neutrosophic logic has emerged as an applicable solution that is gaining significant attention in solving many real-life decision-making problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistency, and indeterminacy. However, empirical research on this specific graph set is lacking. Neutrosophic Graph Theory and Algorithms is a collection of innovative research on the methods and applications of neutrosophic sets and logic within various fields including systems analysis, economics, and transportation. While highlighting topics including linear programming, decision-making methods, and homomorphism, this book is ideally designed for programmers, researchers, data scientists, mathematicians, designers, educators, researchers, academicians, and students seeking current research on the various methods and applications of graph theory.

Download or read book International Journal of Neutrosophic Science IJNS Volume 0 2019 written by and published by Infinite Study. This book was released on 2019-10-01 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Journal of Neutrosophic Science (IJNS) is a peer-review journal publishing high quality experimental and theoretical research in all areas of Neutrosophics and its Applications.

Download or read book Collected Papers Volume XII written by Florentin Smarandache and published by Infinite Study. This book was released on 2022-08-01 with total page 1006 pages. Available in PDF, EPUB and Kindle. Book excerpt: This twelfth volume of Collected Papers includes 86 papers comprising 976 pages on Neutrosophics Theory and Applications, published between 2013-2021 in the international journal and book series “Neutrosophic Sets and Systems” by the author alone or in collaboration with the following 112 co-authors (alphabetically ordered) from 21 countries: Abdel Nasser H. Zaied, Muhammad Akram, Bobin Albert, S. A. Alblowi, S. Anitha, Guennoun Asmae, Assia Bakali, Ayman M. Manie, Abdul Sami Awan, Azeddine Elhassouny, Erick González-Caballero, D. Dafik, Mithun Datta, Arindam Dey, Mamouni Dhar, Christopher Dyer, Nur Ain Ebas, Mohamed Eisa, Ahmed K. Essa, Faruk Karaaslan, João Alcione Sganderla Figueiredo, Jorge Fernando Goyes García, N. Ramila Gandhi, Sudipta Gayen, Gustavo Alvarez Gómez, Sharon Dinarza Álvarez Gómez, Haitham A. El-Ghareeb, Hamiden Abd El-Wahed Khalifa, Masooma Raza Hashmi, Ibrahim M. Hezam, German Acurio Hidalgo, Le Hoang Son, R. Jahir Hussain, S. Satham Hussain, Ali Hussein Mahmood Al-Obaidi, Hays Hatem Imran, Nabeela Ishfaq, Saeid Jafari, R. Jansi, V. Jeyanthi, M. Jeyaraman, Sripati Jha, Jun Ye, W.B. Vasantha Kandasamy, Abdullah Kargın, J. Kavikumar, Kawther Fawzi Hamza Alhasan, Huda E. Khalid, Neha Andalleb Khalid, Mohsin Khalid, Madad Khan, D. Koley, Valeri Kroumov, Manoranjan Kumar Singh, Pavan Kumar, Prem Kumar Singh, Ranjan Kumar, Malayalan Lathamaheswari, A.N. Mangayarkkarasi, Carlos Rosero Martínez, Marvelio Alfaro Matos, Mai Mohamed, Nivetha Martin, Mohamed Abdel-Basset, Mohamed Talea, K. Mohana, Muhammad Irfan Ahamad, Rana Muhammad Zulqarnain, Muhammad Riaz, Muhammad Saeed, Muhammad Saqlain, Muhammad Shabir, Muhammad Zeeshan, Anjan Mukherjee, Mumtaz Ali, Deivanayagampillai Nagarajan, Iqra Nawaz, Munazza Naz, Roan Thi Ngan, Necati Olgun, Rodolfo González Ortega, P. Pandiammal, I. Pradeepa, R. Princy, Marcos David Oviedo Rodríguez, Jesús Estupiñán Ricardo, A. Rohini, Sabu Sebastian, Abhijit Saha, Mehmet Șahin, Said Broumi, Saima Anis, A.A. Salama, Ganeshsree Selvachandran, Seyed Ahmad Edalatpanah, Sajana Shaik, Soufiane Idbrahim, S. Sowndrarajan, Mohamed Talea, Ruipu Tan, Chalapathi Tekuri, Selçuk Topal, S. P. Tiwari, Vakkas Uluçay, Maikel Leyva Vázquez, Chinnadurai Veerappan, M. Venkatachalam, Luige Vlădăreanu, Ştefan Vlăduţescu, Young Bae Jun, Wadei F. Al-Omeri, Xiao Long Xin.

Download or read book Symbolic Neutrosophic Theory written by Florentin Smarandache and published by Infinite Study. This book was released on 2015-10-14 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symbolic (or Literal) Neutrosophic Theory is referring to the use of abstract symbols (i.e. the letters T, I, F, or their refined indexed letters Tj, Ik, Fl) in neutrosophics. In the first chapter we extend the dialectical triad thesis-antithesis-synthesis (dynamics of and , to get a synthesis) to the neutrosophic tetrad thesis-antithesis-neutrothesis-neutrosynthesis (dynamics of , , and , in order to get a neutrosynthesis). In the second chapter we introduce the neutrosophic system and neutrosophic dynamic system. A neutrosophic system is a quasi- or (t,i,f)–classical system, in the sense that the neutrosophic system deals with quasi-terms/concepts/attributes, etc. [or (t,i,f)-terms/concepts/attributes], which are approximations of the classical terms/concepts/attributes, i.e. they are partially true/membership/probable (t), partially indeterminate (i), and partially false/nonmembership/improbable (f), where t, i, f are subsets of the unitary interval [0, 1]. In the third chapter we introduce for the first time the notions of Neutrosophic Axiom, Neutrosophic Deducibility, Neutrosophic Axiomatic System, Degree of Contradiction (Dissimilarity) of Two Neutrosophic Axioms, etc. The fourth chapter we introduced for the first time a new type of structures, called (t, i, f)-Neutrosophic Structures, presented from a neutrosophic logic perspective, and we showed particular cases of such structures in geometry and in algebra. In any field of knowledge, each structure is composed from two parts: a space, and a set of axioms (or laws) acting (governing) on it. If the space, or at least one of its axioms (laws), has some indeterminacy of the form (t, i, f) ≠ (1, 0, 0), that structure is a (t, i, f)-Neutrosophic Structure. In the fifth chapter we make a short history of: the neutrosophic set, neutrosophic numerical components and neutrosophic literal components, neutrosophic numbers, etc. The aim of this chapter is to construct examples of splitting the literal indeterminacy (I) into literal sub-indeterminacies (I1,I2,…,Ir), and to define a multiplication law of these literal sub-indeterminacies in order to be able to build refined I-neutrosophic algebraic structures. In the sixth chapter we define for the first time three neutrosophic actions and their properties. We then introduce the prevalence order on (T, I, F) with respect to a given neutrosophic operator "o", which may be subjective - as defined by the neutrosophic experts. And the refinement of neutrosophic entities , , and . Then we extend the classical logical operators to neutrosophic literal (symbolic) logical operators and to refined literal (symbolic) logical operators, and we define the refinement neutrosophic literal (symbolic) space. In the seventh chapter we introduce for the first time the neutrosophic quadruple numbers (of the form a+bT+cI+dF) and the refined neutrosophic quadruple numbers. Then we define an absorbance law, based on a prevalence order, both of them in order to multiply the neutrosophic components T, I, F or their sub-components T_j, I_k, F_l and thus to construct the multiplication of neutrosophic quadruple numbers.

Download or read book New types of Neutrosophic Set Logic Probability Neutrosophic Over Under Off Set Neutrosophic Refined Set and their Extension to Plithogenic Set Logic Probability with Applications written by Florentin Smarandache and published by MDPI. This book was released on 2019-11-27 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains 37 papers by 73 renowned experts from 13 countries around the world, on following topics: neutrosophic set; neutrosophic rings; neutrosophic quadruple rings; idempotents; neutrosophic extended triplet group; hypergroup; semihypergroup; neutrosophic extended triplet group; neutrosophic extended triplet semihypergroup and hypergroup; neutrosophic offset; uninorm; neutrosophic offuninorm and offnorm; neutrosophic offconorm; implicator; prospector; n-person cooperative game; ordinary single-valued neutrosophic (co)topology; ordinary single-valued neutrosophic subspace; α-level; ordinary single-valued neutrosophic neighborhood system; ordinary single-valued neutrosophic base and subbase; fuzzy numbers; neutrosophic numbers; neutrosophic symmetric scenarios; performance indicators; financial assets; neutrosophic extended triplet group; neutrosophic quadruple numbers; refined neutrosophic numbers; refined neutrosophic quadruple numbers; multigranulation neutrosophic rough set; nondual; two universes; multiattribute group decision making; nonstandard analysis; extended nonstandard analysis; monad; binad; left monad closed to the right; right monad closed to the left; pierced binad; unpierced binad; nonstandard neutrosophic mobinad set; neutrosophic topology; nonstandard neutrosophic topology; visual tracking; neutrosophic weight; objectness; weighted multiple instance learning; neutrosophic triangular norms; residuated lattices; representable neutrosophic t-norms; De Morgan neutrosophic triples; neutrosophic residual implications; infinitely ∨-distributive; probabilistic neutrosophic hesitant fuzzy set; decision-making; Choquet integral; e-marketing; Internet of Things; neutrosophic set; multicriteria decision making techniques; uncertainty modeling; neutrosophic goal programming approach; shale gas water management system.

Download or read book Neutrosophic Sets and Systems Vol 46 2021 written by Florentin Smarandache and published by Infinite Study. This book was released on 2021-10-19 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers on neutrosophic programming, neutrosophic hypersoft set, neutrosophic topological spaces, NeutroAlgebra, NeutroGeometry, AntiGeometry, NeutroNearRings, neutrosophic differential equations, etc.

Download or read book Neutrosophic Set is a Generalization of Intuitionistic Fuzzy Set Inconsistent Intuitionistic Fuzzy Set Picture Fuzzy Set Ternary Fuzzy Set Pythagorean Fuzzy Set Spherical Fuzzy Set and q Rung Orthopair Fuzzy Set while Neutrosophication is a Generalization of Regret Theory Grey System Theory and Three Ways Decision revisited written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we prove that Neutrosophic Set (NS) is an extension of Intuitionistic Fuzzy Set (IFS) no matter if the sum of neutrosophic components is <1, or >1, or =1. For the case when the sum of components is 1 (as in IFS), after applying the neutrosophic aggregation operators, one gets a different result than applying the intuitionistic fuzzy operators, since the intuitionistic fuzzy operators ignore the indeterminacy, while the neutrosophic aggregation operators take into consideration the indeterminacy at the same level as truth-membership and falsehood-nonmembership are taken.

Download or read book Neutrosophic Sets and Systems Vol 30 2019 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.

Download or read book Neutrosophic Set is a Generalization of Intuitionistic Fuzzy Set Inconsistent Intuitionistic Fuzzy Set Picture Fuzzy Set Ternary Fuzzy Set Pythagorean Fuzzy Set Atanassov s Intuitionistic Fuzzy Set of second type q Rung Orthopair Fuzzy Set Spherical Fuzzy Set and n HyperSpherical Fuzzy Set while Neutrosophication is a Generalization of Regret Theory Grey System Theory and Three Ways Decision revisited written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we prove that Neutrosophic Set (NS) is an extension of Intuitionistic Fuzzy Set (IFS) no matter if the sum of single-valued neutrosophic components is < 1, or > 1, or = 1. For the case when the sum of components is 1 (as in IFS), after applying the neutrosophic aggregation operators one gets a different result from that of applying the intuitionistic fuzzy operators, since the intuitionistic fuzzy operators ignore the indeterminacy, while the neutrosophic aggregation operators take into consideration the indeterminacy at the same level as truth-membership and falsehood-nonmembership are taken. NS is also more flexible and effective because it handles, besides independent components, also partially independent and partially dependent components, while IFS cannot deal with these. Since there are many types of indeterminacies in our world, we can construct different approaches to various neutrosophic concepts.

Download or read book Advances of Standard and Nonstandard Neutrosophic Theories written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we approach different topics related to neutrosophics, such as: Neutrosophic Set, Intuitionistic Fuzzy Set, Inconsistent Intuitionistic Fuzzy Set, Picture Fuzzy Set, Ternary Fuzzy Set, Pythagorean Fuzzy Set, Atanassov’s Intuitionistic Fuzzy Set of second type, Spherical Fuzzy Set, n-HyperSpherical Neutrosophic Set, q-Rung Orthopair Fuzzy Set, truth-membership, indeterminacy-membership, falsehood-nonmembership, Regret Theory, Grey System Theory, Three-Ways Decision, n-Ways Decision, Neutrosophy, Neutrosophication, Neutrosophic Probability, Refined Neutrosophy, Refined Neutrosophication, Nonstandard Analysis; Extended Nonstandard Analysis; Open and Closed Monads to the Left/Right; Pierced and Unpierced Binads; and so on.

Download or read book Collected Papers Volume XIV written by Florentin Smarandache and published by Infinite Study. This book was released on 2022-11-01 with total page 970 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fourteenth volume of Collected Papers is an eclectic tome of 87 papers in Neutrosophics and other fields, such as mathematics, fuzzy sets, intuitionistic fuzzy sets, picture fuzzy sets, information fusion, robotics, statistics, or extenics, comprising 936 pages, published between 2008-2022 in different scientific journals or currently in press, by the author alone or in collaboration with the following 99 co-authors (alphabetically ordered) from 26 countries: Ahmed B. Al-Nafee, Adesina Abdul Akeem Agboola, Akbar Rezaei, Shariful Alam, Marina Alonso, Fran Andujar, Toshinori Asai, Assia Bakali, Azmat Hussain, Daniela Baran, Bijan Davvaz, Bilal Hadjadji, Carlos Díaz Bohorquez, Robert N. Boyd, M. Caldas, Cenap Özel, Pankaj Chauhan, Victor Christianto, Salvador Coll, Shyamal Dalapati, Irfan Deli, Balasubramanian Elavarasan, Fahad Alsharari, Yonfei Feng, Daniela Gîfu, Rafael Rojas Gualdrón, Haipeng Wang, Hemant Kumar Gianey, Noel Batista Hernández, Abdel-Nasser Hussein, Ibrahim M. Hezam, Ilanthenral Kandasamy, W.B. Vasantha Kandasamy, Muthusamy Karthika, Nour Eldeen M. Khalifa, Madad Khan, Kifayat Ullah, Valeri Kroumov, Tapan Kumar Roy, Deepesh Kunwar, Le Thi Nhung, Pedro López, Mai Mohamed, Manh Van Vu, Miguel A. Quiroz-Martínez, Marcel Migdalovici, Kritika Mishra, Mohamed Abdel-Basset, Mohamed Talea, Mohammad Hamidi, Mohammed Alshumrani, Mohamed Loey, Muhammad Akram, Muhammad Shabir, Mumtaz Ali, Nassim Abbas, Munazza Naz, Ngan Thi Roan, Nguyen Xuan Thao, Rishwanth Mani Parimala, Ion Pătrașcu, Surapati Pramanik, Quek Shio Gai, Qiang Guo, Rajab Ali Borzooei, Nimitha Rajesh, Jesús Estupiñan Ricardo, Juan Miguel Martínez Rubio, Saeed Mirvakili, Arsham Borumand Saeid, Saeid Jafari, Said Broumi, Ahmed A. Salama, Nirmala Sawan, Gheorghe Săvoiu, Ganeshsree Selvachandran, Seok-Zun Song, Shahzaib Ashraf, Jayant Singh, Rajesh Singh, Son Hoang Le, Tahir Mahmood, Kenta Takaya, Mirela Teodorescu, Ramalingam Udhayakumar, Maikel Y. Leyva Vázquez, V. Venkateswara Rao, Luige Vlădăreanu, Victor Vlădăreanu, Gabriela Vlădeanu, Michael Voskoglou, Yaser Saber, Yong Deng, You He, Youcef Chibani, Young Bae Jun, Wadei F. Al-Omeri, Hongbo Wang, Zayen Azzouz Omar.