一个具有模糊约束指标集的数学规划问题的解集

Q3 Computer Science

International Journal of Fuzzy System Applications Pub Date : 2022-01-01 DOI:10.4018/ijfsa.303560

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引用次数: 0

摘要

研究了一类具有模糊约束指标集的数学规划问题。为了形式化可行备选集，使用了清晰集与模糊操作数集的交集概念。该操作的结果是一个2型模糊集(T2FS)(其隶属函数采用模糊值集的模糊集)。并给出了相应的隶属函数。结果表明，可行方案的T2FS可以用二级等级不变的T2FS集合的形式表示。提出了具有模糊约束指标集的数学规划问题的T2FS解的概念。研究了T2FS溶液的基本性质。给出了妥协最大化解的概念。证明了几个结果，使得简化其构造成为可能。给出了实例说明。

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On a Solution Set to a Mathematical Programming Problem with a Fuzzy Set of Constraint Indices

The present paper investigates a mathematical programming problem with a fuzzy set of constraint indices. To formalize the set of feasible alternatives, the concept of intersection of crisp sets with a fuzzy set of operands is used. The result of this operation is a type-2 fuzzy set (T2FS) (a fuzzy set whose membership function takes a fuzzy set of values). Furthermore, the corresponding membership function is given. It is shown that the T2FS of feasible alternatives can be represented in the form of the collection of T2FSs with constant secondary grades. The notion of the solution T2FS to the mathematical programming problem with a fuzzy set of constraint indices is proposed. The basic properties of the solution T2FS are investigated. The notion of a compromise maximizing solution is given. Several results are proved that make it possible to simplify its construction. Illustrative examples are given.

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来源期刊

International Journal of Fuzzy System Applications Computer Science-Computer Science (all)

CiteScore

2.40

自引率

0.00%

发文量