A NOTE ON GEOMETRIC AGGREGATION OPERATORS IN T-SPHERICAL FUZZY ENVIRONMENT AND THEIR APPLICATIONS IN MULTI-ATTRIBUTE DECISION MAKING
Kifayat Ullah*1, Tahir Mahmood2, Naeem Jan3, Zeeshan Ali4
ABSTRACT
Describing uncertainties of more than one aspect is a hot research topic in fuzzy mathematics. Atanassov’s
intuitionistic fuzzy set (IFS) and Cuong’s picture fuzzy set (PFS) are two featured fuzzy concepts. Recently, a novel
framework of T-spherical fuzzy set (TSFS) and consequently spherical fuzzy set (SFS) are developed for handling
those problems where uncertain situations have more than two aspects. This manuscript is based on some contribution
to the area of SFS and TSFS. In this manuscript, some properties of aggregation tools of TSFS (SFS) are discussed
and some ordered weighted geometric (OWG) and hybrid geometric (HG) operators are developed. It is discussed
that these aggregation operators are generalizations of the aggregation operators of IFSs and PFSs. Multi-attribute
decision making (MADM) process is comprehensively discussed in T-spherical fuzzy environment and elaborated with
a numerical example. The results obtained are analyzed and their advantages over existing structures are studied.
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