✦ LIBER ✦

Supplement to “An interpretation of membership functions and the properties of general probabilistic operators as fuzzy set operators m Part I”

✍ Scribed by Shigeaki Mabuchi

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 597 KB
Volume: 89
Category: Article
ISSN: 0165-0114
DOI: 10.1016/s0165-0114(96)00088-7

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✦ Synopsis

Basic idea of Part 1 of "An interpretation of membership functions and the properties of general probabilistic operators as fuzzy set operators" (1992) mainly on the conceptual construction of membership functions, is straightened out and illustrated by detailed examples. The purpose of this article is to clarify unclear points in notations and concepts of (Mabuchi, 1992) as a step toward the extension of the theory from type 1 to three-valued fuzzy sets. @

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✍ Shigeaki Mabuchi 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 974 KB

Previously in Part 1 of the present paper and its supplement an approach was made to an interpretation of membership functions as probability and a proposal of the probabilistic operators with dependence relation of the sets. This paper is an extension to three-valued and interval-valued fuzzy sets.