Download or read book Fuzzy neutrosophic Soft Ideal Theory Fuzzy neutrosophic Soft Local Function and Generated Fuzzy neutrosophic Soft Topological Spaces written by Ather Farhan lafta and published by Infinite Study. This book was released on with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this paper is to introduce the notion of fuzzy neutrosophic soft ideal in fuzzy neutrosophic soft set theory. The concept of fuzzy neutrosophic soft local function is also introduced. These concepts are discussed with a view to find new fuzzy neutrosophic soft topologies from the original one. The basic structure, especially a basis for such generated fuzzy neutrosophic soft topologies also studied here. Finally, the notion of compatibility of fuzzy neutrosophic soft ideals with fuzzy neutrosophic soft topologies is introduced and some equivalent conditions concerning this topic are established here.
Download or read book A Review of Fuzzy Soft Topological Spaces Intuitionistic Fuzzy Soft Topological Spaces and Neutrosophic Soft Topological Spaces written by M. Parimala and published by Infinite Study. This book was released on 2020-04-20 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notion of fuzzy sets initiated to overcome the uncertainty of an object. Fuzzy topological space, intuitionistic fuzzy sets in topological structure space, vagueness in topological structure space, rough sets in topological space, theory of hesitancy and neutrosophic topological space, etc. are the extension of fuzzy sets. Soft set is a family of parameters which is also a set. Fuzzy soft topological space, intuitionistic fuzzy soft and neutrosophic soft topological space are obtained by incorporating soft sets with various topological structures. This motivates to write a review and study on various soft set concepts. This paper shows the detailed review of soft topological spaces in various sets like fuzzy, Intuitionistic fuzzy set and neutrosophy. Eventually, we compared some of the existing tools in the literature for easy understanding and exhibited their advantages and limitations.
Download or read book A New Approach to Operations on Neutrosophic Soft Sets and to Neutrosophic Soft Topological Spaces written by Taha Yasin Ozturk 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 study, we re-define some operations on neutrosophic soft sets differently from the studies [3, 9]. On this operations are given interesting examples and them basic properties. In the direction of these newly defined operations, we construct the neutrosophic soft topological spaces differently from the study [3]. Finally, we introduce basic definitions and theorems on neutrosophic soft topological spaces.
Download or read book Fixed points of fuzzy neutrosophic soft mapping with decision making written by Muhammad Riaz and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we introduce some operations on a fuzzy neutrosophic soft set (fns-set) by utilizing the theories of fuzzy sets, soft sets and neutrosophic sets. We introduce fns-mappings by using a cartesian product with relations on fns-sets and establish some results on fixed points of an fns-mapping. We present an algorithm to deal with uncertainties in the multi-criteria decision making to slenderize energy crises by using an fns-average operator and a comparison table for fns-sets.
Download or read book n refined Neutrosophic Fuzzy of Some Topological Concepts written by Weria Saber and published by Infinite Study. This book was released on 2023-01-01 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we present and study some concepts in topological space by using two tools in fuzzy theory which namely fuzzy and neutrosophic concepts. n-refined neutrosophic fuzzy topological space have been studied by n-refined neighborhood, n-refined compact set and other notions. Finally, some definitions, examples and new results have been presented in this paper.
Download or read book About Rough Neutrosophic Soft Sets Theory and Study Their Properties written by Somen Debnath and published by Infinite Study. This book was released on with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: Earlier fuzzy set, vague set, intuitionistic fuzzy set, L-fuzzy set etc are used as a mathematical tools for solving problems based on uncertainties or ambiguous in nature. But due to more complexity involves in problems exist in nature, traditional tools are unable to handle those in a systematic manner. So we need a tool which is more flexible to handle those problems. Which leads to the invention of soft set which was introduced by Molodtsov in 1999. Soft set (SS) theory is a mathematical tool deals with parametric data which are imprecise in nature. Ithis a generalization of fuzzy set theory. On the other hand Rough set (RS) theory and Neutrosophic set (NS) theory both rising as a powerful tool to handle these uncertain, incomplete, inconsistent and imprecise information in an effective manner. Actually Neutrosophic set is a generalization of intuitionistic fuzzy set. Sometimes it is not possible to handle all sorts of uncertain problems with a single mathematical tool. Fusion of two or more mathematical tools give rise to a new mathematical concept which gives an idea how to solve such type of problems in a more sophisticated ways. Which leads to the introduction of fuzzy soft set, rough soft set, intuitionistic fuzzy soft set, soft rough set etc. Neutrosophic soft set (NSS) was established by combining the concept of Soft set and Neutrosophic set. In this paper, using the concept of Rough set and Neutrosophic soft set a new concept known as Rough neutrosophic soft set (RNSS) is developed. Some properties and operations on them are introduced.
Download or read book Neutrosophic soft set written by Pabitra Kumar Maji and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we study the concept of neutrosophic set of Smarandache. We have introduced this concept in soft sets and defined neutrosophic soft set. Some definitions and operations have been introduced on neutrosophic soft set. Some properties of this concept have been established.
Download or read book Neutrosophic Theory and Its Applications Vol I written by Florentin Smarandache and published by Infinite Study. This book was released on 2014-12-01 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 45 papers, written by the author alone or in collaboration with the following co-authors: Mumtaz Ali, Said Broumi, Sukanto Bhattacharya, Mamoni Dhar, Irfan Deli, Mincong Deng, Alexandru Gal, Valeri Kroumov, Pabitra Kumar Maji, Maikel Leyva-Vazquez, Feng Liu, Pinaki Majumdar, Munazza Naz, Karina Perez-Teruel, Rıdvan Sahin, A. A. Salama, Muhammad Shabir, Rajshekhar Sunderraman, Luige Vladareanu, Magdalena Vladila, Stefan Vladutescu, Haibin Wang, Hongnian Yu, Yan-Qing Zhang.
Download or read book New Family of Neutrosophic Soft Sets written by Ahmed B. Al-Nafee and published by Infinite Study. This book was released on 2020-12-01 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this paper is to study and discuss the neutrosophic soft set theory by introducing, new family of neutrosophic soft sets and because the concept of topological spaces is one of the most powerful concepts in system analysis, we introduced the concept of neutrosophic soft topological spaces depending on this the new family. Furthermore, we introduced new definitions, properties, concerning the neutrosophic soft closuer, the neutrosophic soft interior, the neutrosophic soft exterior and the neutrosophic soft boundary in details of neutrosophic compact. We prove that for a countable neutrosophic-space X: countably compactness and compactness are equivalent. We give an example of a neutrosophic space X which has a neutrosophic countable base but it is not neutrosophic countably compact.
Download or read book On neutrosophic soft continuous mappings written by Taha Yasin Öztürk and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, the concept of neutrosophic soft continuous mapping, neutrosophic soft open mapping, neutrosophic soft closed mapping and neutrosophic soft homeomorphism have been introduced along with the investigation of their several characteristics, and verified by proper examples.
Download or read book Generalized inverse of fuzzy neutrosophic soft matrix written by R. Uma and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra.
Download or read book Soft b Separation Axioms in Neutrosophic Soft Topological Structures written by Arif Mehmood Khattak and published by Infinite Study. This book was released on with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea of neutrosophic set was floated by Smarandache by supposing a truth membership, an indeterminacy membership and a falsehood or falsity membership functions. Neutrosophic soft sets bonded by Maji have been utilized successfully to model uncertainty in several areas of application such as control, reasoning, pattern recognition and computer vision. The rst aim of this article bounces the idea of neutrosophic soft b-open set, neutrosophic soft b-closed sets and their properties.Also the idea of neutrosophic soft b-neighborhood and neutrosophic soft b-separation axioms in neutrosophic soft topological structures are also reflected here.
Download or read book Standard Neutrosophic Soft Theory Some First Results written by Bui Cong Cuong and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: The traditional soft set is a mapping from a parameter set to family of all crisp subsets of a universe. Molodtsov introduced the soft set as a generalized tool for modelling complex systems involving uncertain or not clearly defined objects.
Download or read book Determinant Theory for Fuzzy Neutrosophic Soft Matrices written by R.Uma and published by Infinite Study. This book was released on with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: The complexity of problems in economics, engineering, environmental sciences and social sciences which cannot be solved by the well known methods of classical Mathematics pose a great difficulty in today’s practical world (as various types of uncertainties are presented in these problems).
Download or read book AN INTRODUCTION TO FUZZY NEUTROSOPHIC TOPOLOGICAL SPACES written by Y. VEERESWARI and published by Infinite Study. This book was released on with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we introduce fuzzy neutrosophic topological spaces and its some properties. Also we provide fuzzycontinuous and fuzzy compactness of fuzzy neutrosophic topological space and its some properties and examples.
Download or read book Section of Fuzzy Neutrosophic Soft Matrix written by R. Uma and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fuzzy sets , theory of intuitionistic fuzzy sets , theory of vague sets, theory of interval Mathematics and theory of rough sets which can be considered as Mathematical tools for dealing with uncertainities. But all these theries have their inherent difficulties as pointed out in [4]. The reason for these difficulties is, possibly, the inadequency of the parametrization tools of the theories.
Download or read book Some Results in Neutrosophic Soft Topology Concerning Neutrosophic Soft b Open Sets written by Arif Mehmood 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 article, new generalised neutrosophic soft open known as neutrosophic soft ∗b-open set is introduced in neutrosophic soft topological spaces. Neutrosophic soft ∗b-open set is generated with the help of neutrosophic soft semiopen and neutrosophic soft preopen sets.
