Download or read book New Distance and Similarity Measures of Interval Neutrosophic Sets written by Said Broumi and published by Infinite Study. This book was released on with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we proposed a new distance and several similarity measures between interval neutrosophic sets.
Download or read book New Similarity and Entropy Measures of Interval Neutrosophic Sets with Applications in Multi Attribute Decision Making written by Han Yang and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: Information measures play an important role in the interval neutrosophic sets (INS) theory. The main purpose of this paper is to study the similarity and entropy of INS and its application in multi-attribute decision-making. We propose a new inclusion relation between interval neutrosophic sets where the importance of the three membership functions may be different. Then, we propose the axiomatic definitions of the similarity measure and entropy of the interval neutrosophic set (INS) based on the new inclusion relation. Based on the Hamming distance, cosine function and cotangent function, some new similarity measures and entropies of INS are constructed. Finally, based on the new similarity and entropy, we propose a multi-attribute decision-making method and illustrate that these new similarities and entropies are reasonable and effective.
Download or read book Some Similarity Measures of Neutrosophic Sets Based on the Euclidean Distance and Their Application in Medical Diagnosis written by Donghai Liu and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: Similarity measure is an important tool in multiple criteria decision-making problems, which can be used to measure the difference between the alternatives. In this paper, some new similarity measures of single-valued neutrosophic sets (SVNSs) and interval-valued neutrosophic sets (IVNSs) are defined based on the Euclidean distance measure, respectively, and the proposed similarity measures satisfy the axiom of the similarity measure. Furthermore, we apply the proposed similarity measures to medical diagnosis decision problem; the numerical example is used to illustrate the feasibility and effectiveness of the proposed similarity measures of SVNSs and IVNSs, which are then compared to other existing similarity measures.
Download or read book New Similarity Measures of Simplified Neutrosophic Sets and Their Applications written by Chunfang Liu and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: The simplified neutrosophic set (SNS) is a generalization of fuzzy set that is designed for some practical situations in which each element has truth membership function, indeterminacy membership function and falsity membership function.
Download or read book Application of Similarity Measure on m polar Interval valued Neutrosophic Set in Decision Making in Sports written by Muhammad Saeed and published by Infinite Study. This book was released on 2020-12-01 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: In real life, most of the problems occurred by wrong decision making, while in sports it is mandatory for every player, coach, and technique director to make a good and an ideal decision. In this paper, the concept of similarity measure is used in the neutrosophic environment for decision making in a football game for the selection of players. The data is collected in interval-valued, while the new concept m-polar is illustrated as previous records of m matches played by players. m-polar structures provide multiple data on the concerned problem, so as a result the best solution can be developed for the selection problem. An m-polar Interval-valued Neutrosophic Set (mIVNS) is derived for the targeted task of player selection problem. Then some operations, properties, and distance measures are introduced on m-polar Interval-valued Neutrosophic Set (mIVNS). Distance-base Similarity Measure is illustrated to each player with an ideal set in mIVNS structure. In the end, the Algorithm is given for ideal decision-making in sports for the selection of players.
Download or read book Cosine Similarity Measure of Interval Valued Neutrosophic Sets written by Said Broumi and published by Infinite Study. This book was released on with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we define a new cosine similarity between two interval valued neutrosophic sets based on Bhattacharya’s distance.
Download or read book New multiparametric similarity measure and distance measure for interval neutrosophic set with IoT industry evaluation written by XINDONG PENG and published by Infinite Study. This book was released on with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the epoch of Internet of Things (IoT), we are confronted five challenges (Connectivity, Value, Security, Telepresence and Intelligence) with complex structures. IoT industry decision making is critically important for countries or societies to enhance the effectiveness and validity of leadership, which can greatly accelerate industrialized and large-scale development. In the case of IoT industry decision evaluation, the essential problem arises serious incompleteness, impreciseness, subjectivity and incertitude. Interval neutrosophic set (INS), disposing the indeterminacy portrayed by truth membership T, indeterminacy membership I, and falsity membership F with interval form, is a more viable and effective means to seize indeterminacy.
Download or read book Several Similarity Measures of Neutrosophic Sets written by Said Broumi and published by Infinite Study. This book was released on with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt: Smarandache (1995) defined the notion of neutrosophic sets, which is a generalization of Zadeh's fuzzy set and Atanassov's intuitionistic fuzzy set. In this paper, we first develop some similarity measures of neutrosophic sets.
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.
Download or read book A Chi Square Distance Based Similarity Measure Of Single Valued Neutrosophic Under Set And Applications written by T. Deepika and published by Infinite Study. This book was released on with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this paper is to propose a new similarity measure of single valued neutrosophic under sets (SVNUSs). Numerical examples are provided to show the superiority of the proposed similarity measure comparing with the existing similarity measures of SVNUSs. A weighted similarity is also put forward based on the proposed similarity. Some examples are given to show the effectiveness and practicality of the proposed similarity in pattern recognition, medical diagnosis and multi-attribute decision making problems under single-valued neutrosophic environment.
Download or read book Critical Review Vol 9 2014 written by Baokun Li and published by Infinite Study. This book was released on 2014-12-01 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt: The following papers are published: From Unbiased Numerical Estimates to Unbiased Interval Estimates; New Distance and Similarity Measures of Interval Neutrosophic Sets; Lower and Upper Soft Interval Valued Neutrosophic Rough Approximations of An IVNSS-Relation; Cosine Similarity Measure of Interval Valued Neutrosophic Sets; Reliability and Importance Discounting of Neutrosophic Masses; Neutrosophic Code.
Download or read book New Similarity Measures of Single Valued Neutrosophic Multisets Based on the Decomposition Theorem and Its Application in Medical Diagnosis written by Qingqing Hu and published by Infinite Study. This book was released on with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, the decomposition theorem, representation theorem and the application of a new similarity measures of SVNMSs are studied by using theoretical analysis and calculations.
Download or read book MULTI CRITERIA DECISION MAKING METHOD BASED ON SIMILARITY MEASURES UNDER SINGLE VALUED NEUTROSOPHIC REFINED AND INTERVAL NEUTROSOPHIC REFINED ENVIRONMENTS written by FARUK KARAASLAN and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we propose three similarity measure methods for single valued neutrosophic refined sets and interval neutrosophic refined sets based on Jaccard, Dice and Cosine similarity measures of single valued neutrosophic sets and interval neutrosophic sets.
Download or read book Multi Attribute Decision Making Based on Preference Perspective with Interval Neutrosophic Sets in Venture Capital written by Yanran Hong and published by Infinite Study. This book was released on with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fuzzy information in venture capital can be well expressed by neutrosophic numbers, and TODIM method is an effective tool for multi-attribute decision-making. The distance measure is an essential step in TODIM method. The keystone of this paper is to define several new distance measures, in particular the improved interval neutrosophic Euclidean distance, and these measures are applied in the TODIM method for multi-attribute decision-making.
Download or read book On Some Similarity Measures of Single Valued Neutrosophic Rough Sets written by K. Mohana and published by Infinite Study. This book was released on with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we have obtained the similarity measures between single valued neutrosophic rough sets by analyzing the concept of its distance between them and studied its properties. Further we have studied its similarity based on its membership degrees and studied its properties. We have also defined the cardinality of two single valued neutrosophic rough sets. A numerical example in medical diagnosis is given for the proposed similarity measure of the single valued neutrosophic rough sets which helps us to prove the usefulness and flexibility of the proposed method.
Download or read book Entropy Measures of Distance and Similarity of Q Neutrosophic Soft Sets and Some Applications written by Majdoleen Abu Qamar and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea of the Q-neutrosophic soft set emerges from the neutrosophic soft set by upgrading the membership functions to a two-dimensional entity which indicate uncertainty, indeterminacy and falsity. Hence, it is able to deal with two-dimensional inconsistent, imprecise, and indeterminate information appearing in real life situations. In this study, the tools that measure the similarity, distance and the degree of fuzziness of Q-neutrosophic soft sets are presented. The definitions of distance, similarity and measures of entropy are introduced. Some formulas for Q-neutrosophic soft entropy were presented. The known Hamming, Euclidean and their normalized distances are generalized to make them well matched with the idea of Q-neutrosophic soft set. The distance measure is subsequently used to define the measure of similarity. Lastly, we expound three applications of the measures of Q-neutrosophic soft sets by applying entropy and the similarity measure to a medical diagnosis and decision making problems.
Download or read book Multi criteria decision making method based on similarity measures under single valued neutrosophic refined and interval neutrosophic refined environments written by Faruk Karaaslan and published by Infinite Study. This book was released on with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we propose three similarity measure methods for single-valued neutrosophic refined sets and interval neutrosophic refined sets based on Jaccard, Dice and Cosine similarity measures of single-valued neutrosophic sets and interval neutrosophic sets.
