Lambert W Aggregation Operators for Intuitionistic Fuzzy Multi- Criteria Decision-Making
Fuzzy Sets and Triangular Norms: Aggregation in Decision-Aided Intelligent Systems, CRC Press, ss.1-23, 2026
- Yayın Türü: Kitapta Bölüm / Araştırma Kitabı
- Basım Tarihi: 2026
- Doi Numarası: 10.1201/9781003529088-1
- Yayınevi: CRC Press
- Sayfa Sayıları: ss.1-23
- Ankara Üniversitesi Adresli: Evet
Özet
Multi-criteria decision-making (MCDM) problems often involve decision data that are vague or uncertain. In this context, triangular norms (t-norms), triangular conorms (t-conorms), and aggregation operators are important tools for handling uncertainty and vagueness. In this chapter, we introduce the Lambert W t-norm and t-conorm. These new concepts are derived using specific additive generators, and their inverse functions give rise to the name Lambert W. We then use these new operators to define the Lambert W weighted aggregation operators for intuitionistic fuzzy values (IFVs). We apply these aggregation operators to MCDM problems with IFVs and demonstrate their effectiveness through a numerical example. We also conduct a comparative and a sensitivity analysis. Our results demonstrate that the consistent rankings obtained in the comparative analysis align with the finding in our chapter. Specifically, the Lambert aggregation operators demonstrate potential in addressing decision-making scenarios where the decision maker aims to enhance their control over the level of uncertainty and hesitancy inherent in the process.