On the optimization of Dombi non-linear programming

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Ghodousian amin; Elyasimohammadi Fatemeh

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Journal Paper

Paper Information

Journal: JOURNAL OF ALGORITHMS AND COMPUTATION Year:2020 | Volume:52 | Issue:1 Page(s): 1-36

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Title

On the optimization of Dombi non-linear programming

Author(s)

Ghodousian amin | Elyasimohammadi Fatemeh | Issue Writer Certificate

Keywords

Fuzzy relational equations

nonlinear optimization

genetic algorithm

Abstract

Dombi family of t-norms includes a parametric family of continuous strict t-norms, whose members are increasing functions of the parameter. This family of t-norms covers the whole spectrum of t-norms when the parameter is changed from zero to infinity. In this paper, we study a nonlinear optimization problem in which the constraints are defined as Fuzzy relational equations (FRE) with the Dombi family of t-norms. We firstly investigate the resolution of the feasible solutions set when it is defined with max-Dombi composition and present some necessary and su cient conditions for determining the feasibility. Also, some procedures are presented for simplifying the problem. Since the feasible solutions set of FREs is non-convex, conventional nonlinear programming methods may not be directly employed to solve the problem. Based on some theoretical properties of the problem, a genetic algorithm is

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APA: Copy

Ghodousian, amin, & Elyasimohammadi, Fatemeh. (2020). On the optimization of Dombi non-linear programming. JOURNAL OF ALGORITHMS AND COMPUTATION, 52(1), 1-36. SID. https://sid.ir/paper/354589/en

Vancouver: Copy

Ghodousian amin, Elyasimohammadi Fatemeh. On the optimization of Dombi non-linear programming. JOURNAL OF ALGORITHMS AND COMPUTATION[Internet]. 2020;52(1):1-36. Available from: https://sid.ir/paper/354589/en

IEEE: Copy

amin Ghodousian, and Fatemeh Elyasimohammadi, “On the optimization of Dombi non-linear programming,” JOURNAL OF ALGORITHMS AND COMPUTATION, vol. 52, no. 1, pp. 1–36, 2020, [Online]. Available: https://sid.ir/paper/354589/en

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