Concepts of generalized concavity based on aggregation functions

Authors:
Masamichi Kon;Hiroaki Kuwano
Affiliations:
Graduate School of Science and Technology, Hirosaki University, 3 Bunkyo, Hirosaki, Aomori 036-8561, Japan;Faculty of Business Administration and Information Science, Kanazawa Gakuin University, 10 Sue, Kanazawa, Ishikawa 920-1392, Japan
Venue:
Fuzzy Sets and Systems
Year:
2012

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Abstract

In the present paper, the quasiconcavity of membership functions is generalized based on conjunctive aggregation functions, and the properties of the generalized quasiconcavity are investigated. Fuzzy multicriteria and scalar programming problems are then considered, and the properties of Pareto optimal solutions and compromise solutions as well as their relationships are derived. Finally, we discuss the application of the obtained results to facility location problems.