Novel Decomposed Spherical Fuzzy Sets and Its TOPSIS Extension

TÜYSÜZ N., Kahraman C.

International Conference on Intelligent and Fuzzy Systems, INFUS 2024, Çanakkale, Turkey, 16 - 18 July 2024, vol.1088 LNNS, pp.658-665, (Full Text) identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1088 LNNS
  • Doi Number: 10.1007/978-3-031-70018-7_73
  • City: Çanakkale
  • Country: Turkey
  • Page Numbers: pp.658-665
  • Keywords: Decomposed fuzzy sets, Spherical fuzzy sets, TOPSIS
  • Istanbul Gelisim University Affiliated: Yes

Abstract

In this paper, novel decomposed spherical fuzzy sets which represent both three dimensional membership degrees and the consistency of judgments are proposed. First, definitions, basic mathematical operations and some important operators of decomposed spherical fuzzy sets are given. Then, crisp TOPSIS methodology is extended to decomposed spherical fuzzy version. Finally, an illustrative example is presented to show its practicality.