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Bipolar neutrosophic soft sets and applications in decision making

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Book Synopsis Bipolar neutrosophic soft sets and applications in decision making by : Mumtaz Ali

Download or read book Bipolar neutrosophic soft sets and applications in decision making written by Mumtaz Ali. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic set, proposed by Smarandache considers a truth membership function, an indeterminacy membership function and a falsity membership function. Soft set, proposed by Molodtsov is a mathematical framework which has the ability of independency of parameterizations inadequacy, syndrome of fuzzy set, roughset, probability.

SOFT NEUTROSOPHIC CLASSICAL SETS AND THEIR APPLICATIONS IN DECISION-MAKING

Mathematics
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Book Synopsis SOFT NEUTROSOPHIC CLASSICAL SETS AND THEIR APPLICATIONS IN DECISION-MAKING by : Faruk Karaaslan

Download or read book SOFT NEUTROSOPHIC CLASSICAL SETS AND THEIR APPLICATIONS IN DECISION-MAKING written by Faruk Karaaslan. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we introduce the concept of soft neutrosophic classical sets and its set theoretical operations such as; union, intersection, complement, AND-product and OR-product. In addition to these concept and operations, we define four basic types of sets of degenerate elements in a soft neutrosophic classical set. Then, we propose a group decision making method based on soft neutrosophic classical sets, and give algorithm of proposed method. We also make an application of proposed method on a problem including soft neutrosophic classical data.

A New Approach to Operations on Bipolar Neutrosophic Soft Sets and Bipolar Neutrosophic Soft Topological Spaces

Mathematics
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Book Synopsis A New Approach to Operations on Bipolar Neutrosophic Soft Sets and Bipolar Neutrosophic Soft Topological Spaces by : Taha Yasin Ozturk

Download or read book A New Approach to Operations on Bipolar Neutrosophic Soft Sets and Bipolar Neutrosophic Soft Topological Spaces written by Taha Yasin Ozturk . This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: In this study, we re-define some operations on bipolar neutrosophic soft sets differently from the studies. On this operations are given interesting examples and them basic properties. In the direction of these newly defined operations, we construct the bipolar neutrosophic soft topological spaces. Finally, we introduce basic definitions and theorems on bipolar neutrosophic soft topological spaces.

Hesitant Bipolar-valued Neutrosophic set: Formulation, Theory and Application

Mathematics
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Book Synopsis Hesitant Bipolar-valued Neutrosophic set: Formulation, Theory and Application by : Azzah Awang

Download or read book Hesitant Bipolar-valued Neutrosophic set: Formulation, Theory and Application written by Azzah Awang. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: This paper proposes a hesitant bipolar-valued neutrosophic set (HBVNS) based on the combination of bipolar neutrosophic sets and hesitant fuzzy sets. The proposed set generalizes the notions of fuzzy set, intuitionistic fuzzy set, hesitant fuzzy set, single-valued neutrosophic set, single-valued neutrosophic hesitant fuzzy set, bipolar fuzzy set and bipolar neutrosophic set. Further, we define the basic operational laws, union, intersection and complement for hesitant bipolar -valued neutrosophic elements (HBVNEs) and study its associated properties. Some relevant examples are also given to provide a better understanding of the proposed concept. Two aggregation operators are developed based HBVNS which are the hesitant bipolar-valued neutrosophic weighted averaging (HBVNWA) and the hesitant bipolar-valued neutrosophic weighted geometric (HBVNWG). A decision making method is developed based on HBVNS and the proposed HBVNWA and HBVNWG operators. Finally, an illustrative example is given to show the applicability of the proposed decision making method and a comparative analysis with the existing methods is also provided.

Bipolar Neutrosophic Soft Expert Set Theory

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Book Synopsis Bipolar Neutrosophic Soft Expert Set Theory by : Mehmet Şahin

Download or read book Bipolar Neutrosophic Soft Expert Set Theory written by Mehmet Şahin. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we introduce for the first time the concept of bipolar neutrosophic soft expert set and its some operations. Also, the concept of bipolar neutrosophic soft expert set and its basic operations, namely complement, union and intersection. We give examples for these concepts.

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