On stability in possibilistic linear equality systems with lipschitzian fuzzy numbers
نویسندگان
چکیده
منابع مشابه
On stability in possibilistic linear equality systems with Lipschitzian fuzzy numbers
Linear equality systems with fuzzy parameters and crisp variables defined by the extension principle are called possibilistic linear equality systems. The study focuses on the problem of stability (with respect to perturbations of fuzzy parameters) of the solution in these systems.
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Possibilistic linear equality systems (PLES) are linear equality systems with fuzzy parameters and crisp variables. We study the problem: For a given PLES with weakly noninteractive fuzzy number parameters how does the solution change if the parameters are varied?
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We prove that possibilistic linear programming problems (introduced by Buckley in [2]) are well-posed, i.e. small changes of the membership function of the parameters may cause only a small deviation in the possibilistic distribution of the objective function.
متن کاملSome properties of possibilistic linear equality and inequality systems
Linear equality and inequality systems with fuzzy parameters defined by the extension principle are called possibilistic linear equality and inequality systems. The solution of these systems is defined in the sense of BellmanZadeh [1]. This paper investigate stability and continuity properties of the solution in the above-named systems.
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ژورنال
عنوان ژورنال: Fuzzy Sets and Systems
سال: 1990
ISSN: 0165-0114
DOI: 10.1016/0165-0114(90)90219-v