title: Intuitionistic linguistic weighted Bonferroni mean operator and its application to multiple attribute decision making.
abstract: The intuitionistic linguistic variables are easier to describe the fuzzy information which widely exists in the real world, and Bonferroni mean can capture the interrelationship of the individual arguments. However, the traditional Bonferroni mean can only process the crisp number. In this paper, we will extend Bonferroni mean to the intuitionistic linguistic environment and propose a multiple attribute decision making method with intuitionistic linguistic information based on the extended Bonferroni mean which can consider the interrelationship of the attributes. Firstly, score function and accuracy function of intuitionistic linguistic numbers are introduced. Then, an intuitionistic linguistic Bonferroni mean (ILBM) operator and an intuitionistic linguistic weighted Bonferroni mean (ILWBM) operator are developed, and some desirable characteristics of them are studied. At the same time, some special cases with respect to the parameters p and q in Bonferroni are analyzed. Based on the ILWBM operator, the approach to multiple attribute decision making with intuitionistic linguistic information is proposed. Finally, an illustrative example is given to verify the developed approach and to demonstrate its effectiveness.
authors.affiliation: School of Economics and Management, Civil Aviation University of China, Tianjin 300300, China ; School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan, Shandong 250014, China.
authors.forename: Peide
authors.initials: P
authors.lastname: Liu
authors.affiliation: School of Computer and Communications, Shandong TV University, Jinan, Shandong 250014, China.
authors.forename: Lili
authors.initials: L
authors.lastname: Rong
authors.affiliation: School of Economics and Management, Civil Aviation University of China, Tianjin 300300, China.
authors.forename: Yanchang
authors.identifier: 0000-0002-1734-020X
authors.initials: Y
authors.lastname: Chu
authors.affiliation: School of Economics and Management, Civil Aviation University of China, Tianjin 300300, China.
authors.forename: Yanwei
authors.initials: Y
authors.lastname: Li
mesh_terms: D000465:Algorithms; D003657:Decision Making; D017143:Fuzzy Logic; D006801:Humans; D008037:Linguistics