Open AccessApproach to solve multi‐criteria group decision‐making problems by exponential operational law in generalised spherical fuzzy environment
Author(s) -
Haque Tipu Sultan,
Chakraborty Avishek,
Mondal Sankar Prasad,
Alam Shariful
Publication year - 2020
Publication title -
caai transactions on intelligence technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.613
H-Index - 15
ISSN - 2468-2322
DOI - 10.1049/trit.2019.0078
Subject(s) - vagueness , mathematics , exponential function , fuzzy logic , group decision making , fuzzy set , mathematical optimization , fuzzy number , operator (biology) , computer science , mathematical analysis , artificial intelligence , law , political science , biochemistry , chemistry , repressor , transcription factor , gene
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.