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2009•Journal of Gansu SciencesRequires access

Weak Autocontinuity of Set-valued Mapping under a Fuzzy Order

Yong Ma

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Abstract

By the concept of convergence with respect to the fuzzy order of set sequences in m dimensional positive Euclid space,the weak autocontinuity of set-valued mapping is defined,and weak autocontinuity and uniform autocontinuity for the set-valued fuzzy measure are discussed,and the relationships between them are studied.Then we have obtained some interesting conclusions.

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What this paper is about

By the concept of convergence with respect to the fuzzy order of set sequences in m dimensional positive Euclid space,the weak autocontinuity of set-valued mapping is defined,and weak autocontinuity and uniform autocontinuity for the set-valued fuzzy measure are discussed,and the relationships between them are studied.Then we have obtained some interesting conclusions.

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Available abstract

By the concept of convergence with respect to the fuzzy order of set sequences in m dimensional positive Euclid space,the weak autocontinuity of set-valued mapping is defined,and weak autocontinuity and uniform autocontinuity for the set-valued fuzzy measure are discussed,and the relationships between them are studied.Then we have obtained some interesting conclusions.

Key concepts: Mathematics, Set (abstract data type), Fuzzy set, Measure (data warehouse), Fuzzy logic, Convergence (economics), Order (exchange), Space (punctuation)

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