Novel Decision Making Method Based On Bipolar Neutrosophic Information
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Author | : Jianming Zhan |
Publisher | : Infinite Study |
Total Pages | : 25 |
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Genre | : Mathematics |
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In 1998, Smarandache originally considered the concept of neutrosophic set from philosophical point of view. The notion of a single-valued neutrosophic set is a subclass of the neutrosophic set from a scientific and engineering point of view and an extension of intuitionistic fuzzy sets. A bipolar single-valued neutrosophic set is an extension of a bipolar fuzzy set, which provides us an additional possibility to represent uncertainty, imprecise, incomplete and inconsistent information existing in real situations. In this research article, we apply the concept of bipolar single-valued neutrosophic sets to graph structures and present a novel framework for handling bipolar neutrosophic information by combining bipolar neutrosophic sets with graph structures. Several basic notions concerning bipolar single-valued neutrosophic graph structures are introduced, and some related properties are investigated.We also consider the applications of bipolar single-valued neutrosophic graph structures in decision making. In particular, efficient algorithms are developed to solve decision-making problems regarding recognition of each country’s participation in its conspicuous relationships, detection of psychological improvement of patients in a mental hospital and uncovering the undercover reasons for global terrorism.
Author | : Muhammad Akram |
Publisher | : Infinite Study |
Total Pages | : 22 |
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In this research article, we present certain notions of bipolar neutrosophic graphs. We study the dominating and independent sets of bipolar neutrosophic graphs. We describe novel multiple criteria decision making methods based on bipolar neutrosophic sets and bipolar neutrosophic graphs.
Author | : Chunfang Liu |
Publisher | : Infinite Study |
Total Pages | : 13 |
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Genre | : Mathematics |
ISBN | : |
Bipolar neutrosophic set(BNS) is a generalization of bipolar fuzzy set and neutrosophic set that can describe the uncertain information from both positive and negative perspectives. In this contribution, we study the multi-attribute decision making methods based on the distance measure under the uncertain information which the attribute weights are incompletely known or completely unknown.
Author | : Surapati Pramanik |
Publisher | : Infinite Study |
Total Pages | : 10 |
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Bipolar neutrosophic sets are the extension of neutrosophic sets and are based on the idea of positive and negative preferences of information. Projection measure is a useful apparatus for modelling real life decision making problems. In the paper, we define projection, bidirectional projection and hybrid projection measures between bipolar neutrosophic sets. Three new methods based on the proposed projection measures are developed for solving multi-attribute decision making problems.
Author | : Muhammad Akram |
Publisher | : Infinite Study |
Total Pages | : 20 |
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Rough set theory and neutrosophic set theory are mathematical models to deal with incomplete and vague information.
Author | : Irfan Deli |
Publisher | : Infinite Study |
Total Pages | : 6 |
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Genre | : Business & Economics |
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In this paper, we introduce concept of bipolar neutrosophic set and its some operations. Also, we propose score, certainty and accuracy functions to compare the bipolar neutrosophic sets.
Author | : Surapati Pramanik |
Publisher | : Infinite Study |
Total Pages | : 18 |
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Bipolar neutrosophic sets are the extension of neutrosophic sets and are based on the idea of positive and negative preferences of information. Projection measure is a useful apparatus for modeling real life decision making problems.
Author | : Vakkas Ulucay |
Publisher | : Infinite Study |
Total Pages | : 18 |
Release | : |
Genre | : Mathematics |
ISBN | : |
In this study, we give a new outranking approach for multi-attribute decision-making problems in bipolar neutrosophic environment.
Author | : Muhammad Akram |
Publisher | : Infinite Study |
Total Pages | : 17 |
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Genre | : |
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Technique for the order of preference by similarity to ideal solution (TOPSIS) and elimination and choice translating reality (ELECTRE) are widely used methods to solve multi-criteria decision making problems.
Author | : Mehmet Şahin |
Publisher | : Infinite Study |
Total Pages | : 8 |
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The main aim of this study is to present a novel method based on multi-criteria decision making for bipolar neutrosophic sets. Therefore, Jaccard vector similarity and weighted Jaccard vector similarity measure is defined to develop the bipolar neutrosophic decision making method. In addition, the method is applied to a numerical example in order to confirm the practicality and accuracy of the proposed method.