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Title: Analysis and Applications of Spherical Fuzzy Sets in Decision Support Systems
Authors: Ashraf, Shahzaib
Keywords: Physical Sciences
Issue Date: 2021
Publisher: Abdul Wali Khan University, Mardan
Abstract: Spherical fuzzy sets are the latest extension of the ordinary fuzzy sets, intuitionistic fuzzy sets, Pythagorean fuzzy sets and picture fuzzy sets. The main characteristic of the spherical fuzzy sets is satisfying the condition that the squared sum of the positive, neutral and negative grades must be at least zero and at most one. This thesis establish novel operational laws based on the abgebric, Einstein, Hamacher t-norm and t-conorm under spherical fuzzy environments. Furthermore, based on these operational laws, the list of novel aggregation operators under spherical fuzzy information are develped. In addition, many decision methodology like TOPSIS, similarity measures, distance measures, spherical fuzzy entropy mesure are presented to tackle the uncertainty in decision making problems. In last many numerical examples is considered to show the supremacy and effectiveness of the proposed methodologies. Also, a detailed comparison is constructed to evaluate the performance and validity of the established techniques. Key Words: Spherical fuzzy sets; Aggregation operators; Cosine similarity measures; Distance measures; Decision making methods; Multi attribute group decision making problems.
Gov't Doc #: 23202
Appears in Collections:PhD Thesis of All Public / Private Sector Universities / DAIs.

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