Affiliation:
1. College of Information Engineering, Shanghai Maritime University, Shanghai 200135, China
2. College of Science and Technology, Ningbo University, Ningbo 315211, China
3. School of Sciences, Shanghai Maritime University, Shanghai 200135, China
Abstract
The overlap function is an important class of aggregation function that is closely related to the continuous triangular norm. It has important applications in information fusion, image processing, information classification, intelligent decision-making, etc. The usual multi-attribute decision-making (MADM) is to select the decision object that performs well on all attributes (indicators), which is quite demanding. The MADM based on fuzzy quantifiers is to select the decision object that performs well on a certain proportion or quantification (such as most, many, more than half, etc.) of attributes. Therefore, it is necessary to study how to express and calculate fuzzy quantifiers such as most, many, etc. In this paper, the Sugeno integral based on the overlap function (called the O-Sugeno integral) is used as a new information fusion tool, and some related properties are studied. Then, the truth value of a linguistic quantified proposition can be estimated by using the O-Sugeno integral, and the O-Sugeno integral semantics of fuzzy quantifiers is proposed. Finally, the MADM method based on the O-Sugeno integral semantics of fuzzy quantifiers is proposed and the feasibility of our method is verified by several illustrative examples such as the logistics park location problem.
Funder
Natural Science Foundation of Zhejiang Province
Zhejiang Provincial Soft Science Research Project
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis
Reference43 articles.
1. Statistical Metrics;Menger;Proc. Natl. Acad. Sci. USA,1942
2. Two families of fuzzy integrals;Fuzzy Sets Syst.,1986
3. Pseudo-t-morms and pseudo-BL algebras;Flondor;Soft Comput.,2001
4. t-operators;Mas;Int. J. Uncertain. Fuzziness Knowl.-Based Syst.,1999
5. Uninorm aggregation operators;Yager;Fuzzy Sets Syst.,1996