Approach to solve multi-criteria group decision-making problems by exponential operational law in generalised spherical fuzzy environment

CAAI Transactions on Intelligence Technology

article

Tipu Sultan Haque¹  Avishek Chakraborty¹  Sankar Prasad Mondal³  Shariful Alam¹ 

[1] Department of Mathematics, Indian Institute of Engineering Science and Technology;Department of Basic Science, Narula Institute of Technology;Department of Applied Science, Maulana Abul Kalam Azad University of Technology

关键词: fuzzy set theory;    decision making;    operations research;    sensitivity analysis;    algebra;    generalised spherical fuzzy set;    exponential operational law;    generalised spherical weighted exponential averaging operator;    multicriteria group decision-making method;    algebraic properties;    sensitivity analysis;    C1110 Algebra;    C1140E Game theory;    C1160 Combinatorial mathematics;    C1290 Applications of systems theory;   

DOI  :  10.1049/trit.2019.0078

学科分类：数学（综合）

来源: Wiley

【 摘 要 】

The construction of generalised spherical fuzzy number (GSFN) is a reliable philosophy to design and understanding of vagueness and impreciseness. In this study, at first, the authors have defined the generalised spherical fuzzy set and discussed its several properties. Then, a new score and accuracy functions have been introduced in the generalised spherical fuzzy environment which leads to a new method of conversion of fuzzy number into a crisp number. New exponential operational law has been defined for GSFNs where the bases are positive real numbers & components are GSFNs and its various algebraic properties have been studied explicitly. Using this exponential operational law, a generalised spherical weighted exponential averaging operator has been proposed, which is used to develop a multi-criteria group decision-making (MCGDM) method in the generalised spherical fuzzy environment. The newly developed MCGDM has been demonstrated through a real-life problem and its effectiveness and rationality have been shown through sensitivity analysis.

【 授权许可】

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