✦ LIBER ✦

Stability of multiobjective NLP problems with fuzzy parameters in the objectives and constraints functions

✍ Scribed by Elsaid Ebrahim Ammar

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 560 KB
Volume: 90
Category: Article
ISSN: 0165-0114
DOI: 10.1016/s0165-0114(96)00134-0

No coin nor oath required. For personal study only.

✦ Synopsis

This paper deals with the stability ofmultiobjective nonlinear programming problems with fuzzy parameters in the objectives and constraints functions. These fuzzy parameters are characterized by fuzzy numbers. The existing results concerning the qualitative analysis of the notions (solvability set, stability sets of the first kind and of the second kind) in parametric nonlinear programming problems are reformulated to study the stability of multiobjective nonlinear programming problems under the concept of c~-pareto optimality. An algorithm for obtaining any subset of the parametric space which has the same corresponding c~-pareto optimal solution is also presented. An illustrative example is given to clarify the obtained results.

📜 SIMILAR VOLUMES

Interactive stability of multiobjective

Interactive stability of multiobjective NLP problems with fuzzy parameters in the objective functions and constraints

✍ Elsaid Ibrahim Ammar 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 110 KB

Stability of multiobjective nonlinear pr

Stability of multiobjective nonlinear programming problems with random variables in the objective functions

✍ Mohamed Abd El-Hady Kassem 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 358 KB

This paper deals with multiobjective nonlinear programming problems with random variables in the objective functions. These random variables are characterized by possibility density functions. The existing results concerning the qualitative analysis of basic notions in parametric nonlinear programmi

On stability of stochastic multiobjectiv

On stability of stochastic multiobjective programming problems with random coefficients in the objective functions

✍ Abou-Zaid H. El-Banna; Ebrahim A. Youness 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 186 KB

On some basic notions of stochastic mult

On some basic notions of stochastic multiobjective programming problems with random parameters in the constraints

✍ Abou-Zaid H. El-Banna; Ebrahim A. Youness 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 182 KB

Two new algorithms for solving optimizat

Two new algorithms for solving optimization problems with one linear objective function and finitely many constraints of fuzzy relation inequalities

✍ Ali Abbasi Molai 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 877 KB

This paper studies the optimization model of a linear objective function subject to a system of fuzzy relation inequalities (FRI) with the max-Einstein composition operator. If its feasible domain is non-empty, then we show that its feasible solution set is completely determined by a maximum solutio

Possible and necessary optimality of sol

Possible and necessary optimality of solutions in the single machine scheduling problem with fuzzy parameters

✍ Stefan Chanas; Adam Kasperski 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 386 KB

The single machine scheduling problem with parameters given in the form of fuzzy numbers is considered. It is assumed that the optimal schedule in such a problem cannot be determined precisely (since the parameters of the problem are not known a priori). In this paper the concepts of possible and ne