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Hesitant Bipolar valued Neutrosophic set Formulation Theory and Application Book PDF Summary

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.

Detail Book of Hesitant Bipolar valued Neutrosophic set Formulation Theory and Application PDF

Hesitant Bipolar valued Neutrosophic set  Formulation  Theory and Application
  • Author : Azzah Awang
  • Release : 20 September 2024
  • Publisher : Infinite Study
  • ISBN : 978186723xxxx
  • Genre : Mathematics
  • Total Page : 16 pages
  • Language : English
  • PDF File Size : 9,7 Mb

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