Information Measures for Continuous Function-Valued q-Rung Orthopair Fuzzy Sets and an Extended TOPSIS


ÜNVER M., Aydoğan B.

Journal of Uncertain Systems, cilt.17, sa.1, 2024 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 17 Sayı: 1
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1142/s1752890923500125
  • Dergi Adı: Journal of Uncertain Systems
  • Derginin Tarandığı İndeksler: Scopus
  • Anahtar Kelimeler: Continuous function-valued q-rung orthopair fuzzy set, entropy measure, similarity measure, TOPSIS
  • Ankara Üniversitesi Adresli: Evet

Özet

The concept of continuous function-valued q-rung orthopair fuzzy set (CFVqROFS) represents an innovative framework within fuzzy set theory, where the assessment of an element’s membership and nonmembership degrees is accomplished through continuous functions. This paper introduces a novel entropy measure for CFVqROFS, employing the Riemann integral. Furthermore, it outlines a theoretical framework for constructing a similarity measure based on entropy and presents a distance measure. The newly introduced entropy measure is used for weighting criteria and measuring the distance of the alternatives in decision-making processes. To illustrate the practical utility of these concepts, an extended Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) is proposed and is employed to tackle a real-world problem previously addressed in the literature. The outcomes of this extended TOPSIS are compared with those given in existing studies, and a sensitivity analysis is performed concerning the variable q.