An extended circular intuitionistic fuzzy TOPSIS based on similarity measures with an application to multi-criteria decision making

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Bozyiğit M. C., Ünver M., Olgun M.

6th International Conference on Engineering Sciences, Ankara, Turkey, 3 - 04 February 2023, pp.1-13, (Summary Text)

  • Publication Type: Conference Paper / Summary Text
  • City: Ankara
  • Country: Turkey
  • Page Numbers: pp.1-13
  • Ankara Yıldırım Beyazıt University Affiliated: Yes

Abstract

A circular intuitionistic fuzzy set (value) (C-IFS(V)) is represented by a circle standing for the uncertainty of the membership and non-membership functions. The concept of C-IFS is a new generalization of intuitionistic fuzzy sets. A C-IFS models vagueness in membership and non-membership degrees thanks to its structure that allows modelling the information with points of a circle of a certain center and a radius. Thus more sensitive decisions can be made. In this study, we propose a cosine similarity measure between C-IFVs. Then, we introduce an extended circular intuitionistic fuzzy TOPSIS based on similarity measures and apply it to a multi-criteria decision group making problem from the literature. We also study the comparison analysis with some of existing methods in different fuzzy settings.