Intuitionistic fuzzy generalized probabilistic ordered weighted averaging operator and its application to group decision making

• Published in: Technological and economic development of economy Vol. 22; no. 2; pp. 177 - 193
• Main Authors: Zeng, Shouzhen, Su, Weihua, Zhang, Chonghui
• Format: Journal Article
• Language: English
• Published: Taylor & Francis 03.03.2016; Vilnius Gediminas Technical University
• Subjects: Agglomeration; Decision making; Economics; Fuzzy; group decision making; intuitionistic fuzzy set; Mathematical models; Operators; OWA operator; Probabilistic methods; probability; Probability theory
• ISSN: 2029-4913; 2029-4921
• DOI: 10.3846/20294913.2014.984253

In this paper, we present the intuitionistic fuzzy generalized probabilistic ordered weighted averaging (IFGPOWA) operator. It is a new aggregation operator that uses generalized means in a unified model between the probability and the OWA operator. The main advantage of this new operator is that it is able to deal with probabilities (objective information) and ordered weighted averages (subjective information) in the same formulation. Moreover, it is also able to deal with uncertain environments that can be assessed with intuitionistic fuzzy numbers. Furthermore, it uses generalized means providing a very general formulation that includes a wide range of situations. We study some of its main properties and particular cases such as the generalized intuitionistic fuzzy ordered weighted averaging (GIFOWA) operator and intuitionistic fuzzy probabilistic ordered weighted averaging (IFPOWA) operator. We end the paper by applying the new operator to a group decision making problem concerning the selection of investments.