On some basic notions of fuzzy parametric nonsmooth multiobjective nonlinear fractional programming problems

Different basic notions like the solvability set, the stability set of the first and of the second kind for the smooth fuzzy parametric multiobjective NLP programs have been discussed in several papers. In this paper, these notions have been defined and qualitatively analyzed for a general class of...

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Vydáno v:Fuzzy sets and systems Ročník 99; číslo 3; s. 291 - 301
Hlavní autor: Ammar, Elsaid Ebrahim
Médium: Journal Article
Jazyk:angličtina
Vydáno: Amsterdam Elsevier B.V 01.11.1998
Elsevier
Témata:
Applied sciences
Calculus of variations and optimal control
Exact sciences and technology
Fuzzy parameters
Mathematical analysis
Mathematical programming
Mathematics
Multiobjective nonlinear fractional programming
Nonsmooth functions
Operational research and scientific management
Operational research. Management science
Parametric approach
Sciences and techniques of general use
Stability
α-pareto optimality
α-pareto optimality
Fuzzy parameters
Multiobjective nonlinear fractional programming
Stability
Nonsmooth functions
Parametric approach
Multiobjective programming
Parametric programming
Mixed integer programming
Fuzzy programming
Non linear programming
Fractional programming
Mathematical programming
ISSN:0165-0114, 1872-6801
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Popis
Shrnutí:Different basic notions like the solvability set, the stability set of the first and of the second kind for the smooth fuzzy parametric multiobjective NLP programs have been discussed in several papers. In this paper, these notions have been defined and qualitatively analyzed for a general class of nonsmooth multiobjective nonlinear fractional programming problems with fuzzy parameters under the concept of α-pareto optimality. The stability sets of the third and of the fourth kinds have also been defined and analyzed for this problem. A determination of the stability sets of the third and of the fourth kinds will be given.
ISSN:0165-0114
1872-6801
DOI:10.1016/S0165-0114(97)00033-X