A note on the extension principle for fuzzy sets
Reads0
Chats0
About:
This article is published in Journal of Mathematical Analysis and Applications.The article was published on 1978-06-15 and is currently open access. It has received 703 citations till now. The article focuses on the topics: Type-2 fuzzy sets and systems & Fuzzy set operations.read more
Citations
More filters
Journal ArticleDOI
Fuzzy differential equations
TL;DR: F fuzzy-set-valued mappings of a real variable whose values are normal, convex, upper semicontinuous and compactly supported fuzzy sets in Rn are studied and the existence and uniqueness theorem for a solution to a fuzzy differential equation is given.
Journal ArticleDOI
On fuzzy metric spaces
Osmo Kaleva,Seppo Seikkala +1 more
TL;DR: The distance between two points in a fuzzy metric space is a non-negative, upper semicontinuous, normal and convex fuzzy number.
Journal ArticleDOI
The mean value of a fuzzy number
Didier Dubois,Henri Prade +1 more
TL;DR: Some light is shed on the debate between probability and possibility theory, and the problem of how to carry measure-theoretic notions into the field of possibility theory.
Journal ArticleDOI
PRUF—a meaning representation language for natural languages
TL;DR: In addition to serving as a foundation for approximate reasoning, PRUF may be employed as a language for the representation of imprecise knowledge and as a means of precisiation of fuzzy propositions expressed in a natural language.
BookDOI
Handbook of Granular Computing
TL;DR: The Handbook of Granular Computing offers a comprehensive reference source for the granular computing community, edited by and with contributions from leading experts in the field, and represents a significant and valuable contribution to the literature.
References
More filters
Journal ArticleDOI
The concept of a linguistic variable and its application to approximate reasoning—II☆
TL;DR: Much of what constitutes the core of scientific knowledge may be regarded as a reservoir of concepts and techniques which can be drawn upon to construct mathematical models of various types of systems and thereby yield quantitative information concerning their behavior.