Title: Fuzzy goal programming in the case of exponential membership functions with quasiconcave piecewise linear exponents

Authors: Maged George Iskander

Addresses: Department of Mathematics and Actuarial Science, The American University in Cairo, New Cairo 11835, Egypt

Abstract: Fuzzy goal programming has been the subject of numerous studies. A few contributions have examined the situation in which the membership functions of the fuzzy goals are exponential. This paper considers the fuzzy goals when their membership functions are natural exponential with quasiconcave/quasiconvex piecewise linear exponents. The proposed approach is also applicable to the case of concave or convex piecewise linear exponents. Two main forms of exponential membership functions are used. According to each form, two types of fuzzy goal programming models are presented. The lexicographic weighted maxmin model and the pre-emptive priority structure model. The two models take the form of a mixed zero-one nonlinear goal program. A numerical example illustrates the implementation and comparison of the two models.

Keywords: fuzzy goal programming; exponential membership functions; quasiconcave piecewise linear exponents; lexicographic weighted maxmin approach; pre-emptive priority structure approach.

DOI: 10.1504/IJICA.2025.145037

International Journal of Innovative Computing and Applications, 2025 Vol.15 No.2, pp.85 - 92

Received: 11 Aug 2024
Accepted: 04 Jan 2025
Published online: 17 Mar 2025 *

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