Extension of TODIM Method Based on Distance Measures of Decomposed Fuzzy Sets

Köseoğlu A., Şahin R.

International Conference on Intelligent and Fuzzy Systems, INFUS 2024, Çanakkale, Turkey, 16 - 18 July 2024, vol.1088 LNNS, pp.707-714, (Full Text) identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1088 LNNS
  • Doi Number: 10.1007/978-3-031-70018-7_78
  • City: Çanakkale
  • Country: Turkey
  • Page Numbers: pp.707-714
  • Keywords: Decomposed Fuzzy Sets, Distance Measures, TODIM method
  • Recep Tayyip Erdoğan University Affiliated: Yes

Abstract

Fuzzy sets allow elements to have partial membership in a set, represented by a membership value between 0 and 1. This feature enables fuzzy sets to model imprecise or vague concepts. Decomposed fuzzy sets, an extension of fuzzy sets, have introduced a novel perspective in the literature by incorporating the Kano model into risk assessment. These sets have also paved the way for new approaches in decision-making methods, highlighting their functional and dysfunctional elements. In this paper, we propose a distance measure for decomposed fuzzy sets and subsequently extend the TODIM method based on this distance measure to DFSs. Then, we provide a numerical example to illustrate its effectiveness and practicality.