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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Bibliographic Details
Published in:Fuzzy sets and systems Vol. 99; no. 3; pp. 291 - 301
Main Author: Ammar, Elsaid Ebrahim
Format: Journal Article
Language:English
Published: Amsterdam Elsevier B.V 01.11.1998
Elsevier
Subjects:
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
Online Access:Get full text
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Summary: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