Parametric 0-1 processes and extensive fuzzy sets

Tian-Bin Wu

Stochastic Processes and their Applications, 1990, vol. 36, issue 1, 173-179

Abstract: In this paper the methods of random processes are used to establish the rigorous mathematical concepts of fuzzy sets and set up the concepts of extensive fuzzy sets. A 0-1 process determined by C on an index set T is called an extensive fuzzy set in T. As a special case, an independent 0-1 process is a fuzzy set. An example shows that the extensive fuzzy sets may portray fuzzy phenomena more precisely. The proofs of a decomposition theorem and an extension theorem are given.

Keywords: parametric; 0-1; processes; extensive; fuzzy; sets (search for similar items in EconPapers)
Date: 1990
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