A Note on Geometric Aggregation Operators in T-Spherical Fuzzy Environment and Their Applications in Multi-Attribute Decision Making

  • Kifayat Ullah Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan
  • Tahir Mahmood Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan
  • Naeem Jan Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan
  • Zeeshan Ali Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan
Keywords: Picture fuzzy sets, T-spherical fuzzy sets, Aggregation operators, Decision making

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.

Author Biography

Kifayat Ullah, Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan

03349090225

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Published
2018-12-31
How to Cite
Ullah, K., Mahmood, T., Jan, N., & Ali, Z. (2018, December 31). A Note on Geometric Aggregation Operators in T-Spherical Fuzzy Environment and Their Applications in Multi-Attribute Decision Making. JOURNAL OF ENGINEERING AND APPLIED SCIENCES, 37(2), 75-86. https://doi.org/https://doi.org/10.25211/jeas.v37i2.2871