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An interpretation of membership functions and the properties of general probabilistic operators as fuzzy set operators — Part I: Case of type 1 fuzzy sets

✍ Scribed by Shigeaki Mabuchi

Book ID
107902623
Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
914 KB
Volume
49
Category
Article
ISSN
0165-0114

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📜 SIMILAR VOLUMES

Supplement to “An interpretation of memb
Supplement to “An interpretation of membership functions and the properties of general probabilistic operators as fuzzy set operators m Part I”
✍ Shigeaki Mabuchi 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 597 KB

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

An interpretation of membership function
An interpretation of membership functions and the properties of general probabilistic operators as fuzzy set operators. (II). Extension to three-valued and interval-valued fuzzy sets
✍ 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.