Linguistic Single and Interval-valued Hybrid Intuitionistic Fuzzy Multi-sets and Applications to Multi-criteria Group Decision Making

ÜNVER M., Türkarslan E., Ye J., OLGUN M.

Journal of Multiple-Valued Logic and Soft Computing, cilt.41, sa.1-2, ss.1-20, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 1-2
  • Basım Tarihi: 2023
  • Dergi Adı: Journal of Multiple-Valued Logic and Soft Computing
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, zbMATH
  • Sayfa Sayıları: ss.1-20
  • Anahtar Kelimeler: Intuitionistic fuzzy multi-set, linguistic term set, multi-criteria group decision making, weighted arithmetic aggregation operator
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we propose the concepts of linguistic single and intervalvalued hybrid intuitionistic fuzzy multi-set (LSIVHIFMS) and linguistic single and interval-valued hybrid intuitionistic fuzzy multi-value (LSIVHIFMV) by merging linguistic intuitionistic fuzzy sets (values) and linguistic interval-valued intuitionistic fuzzy sets (values). The main contribution of a LSIVHIFMS or a LSIVHIFMV, which contains hybrid information, is the presentation of a qualitative and sensitive assessment tool for multi-criteria group decision making (MCGDM). We also define some algebraic operations between LSIVHIFMVs and provide a weighted arithmetic aggregation operator with the help of these operations by considering t-norms and t-conorms. Then, we give a score and an accuracy function to rank LSIVHIFMVs. Moreover, we give a MCGDM method based on the proposed aggregation operator and score function. This method is applied to a real life MCGDM problem (selection of the company problem to establish a computer laboratory) and the comparison analysis is given with the existing methods to show the efficiency of the proposed method.