Bipolar Treesoft Sets, Bipolar Treefuzzy Sets, and Their Extensions

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Authors: Takaaki Fujita, Ajoy Kanti Das, Suman Das, Volkan Duran, Sankar Prasad Mondal, Mithun Datta
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Abstract

Abstract. Concepts such as Fuzzy Sets, Neutrosophic Sets, Soft sets, HyperSoft Sets, Rough Sets, andPlithogenic Sets have been extensively studied to address uncertainty, with diverse applications across variousfields. As extensions of Fuzzy Sets, Neutrosophic Sets, and Soft Sets, concepts such as Bipolar FuzzySets, Bipolar Neutrosophic Sets, and Bipolar Soft Sets have been introduced. In this paper, we further extendthese notions and explore Bipolar Treesoft Sets, Bipolar Treefuzzy Sets, Multipolar Treefuzzy Sets, and BipolarTreeneutrosophic Sets. Keywords: Soft Set, Fuzzy Set, Neutrosophic Set, Treesoft set, Treefuzzy set, Bipolar Treesoft set, MultipolarFuzzy Set

Fields of Study & Subjects

Fuzzy and Soft Set Theory Rough Sets and Fuzzy Logic Multi-Criteria Decision Making

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
27 January 2026