Journal ArticleDOI
Fuzzy subobjects in a category and the theory of C-sets
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TLDR
The concept of a fuzzy subobject of an object in arbitrary categories, generated by the representation theorem of fuzzy sets, is defined and it is proved that C -sets can be represented by some sets of functors.About:
This article is published in Fuzzy Sets and Systems.The article was published on 1978-07-01. It has received 12 citations till now. The article focuses on the topics: Type-2 fuzzy sets and systems & Fuzzy set operations.read more
Citations
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Journal ArticleDOI
Measuring tranquility and anxiety in decision making: an application of fuzzy sets
TL;DR: Using some concepts from fuzzy set theory, a measure for the anxiety induced by a given decision function is suggested and some implications of this measure are investigated.
Journal ArticleDOI
Quotients with respect to similarity relations
TL;DR: In this paper, the concept of M-valued sets was introduced to solve the problem of the quotient w.r.t. a similarity relation, which is closely related to Poincare's paradox and central problems in cluster analysis.
Book ChapterDOI
Research Guide to Applications of Fuzzy Set Theory in Human Factors
TL;DR: The literature related to application of fuzzy set theory to Human Factors and has 784 research papers listed in the bibliography which is given at the end is presented in this article, with a subjective viewpoint and may be in some sense incomplete.
Journal ArticleDOI
A survey of fuzzy set and topos theory
TL;DR: A survey of the categorical foundations of Fuzzy Set theory and related topoi and one possible structure which has a lopos-like internal logic and the rich variety of loggical connectives used in fuzzy sets is included.
References
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Book
Categories for the Working Mathematician
TL;DR: In this article, the authors present a table of abstractions for categories, including Axioms for Categories, Functors, Natural Transformations, and Adjoints for Preorders.
Book
Applications of Fuzzy Sets to Systems Analysis
TL;DR: One of the objects of this book was to facilitate communication by bringing toge- ther different viewpoints and coloring them from a common viewpoint.
Journal ArticleDOI
Representation theorems for fuzzy concepts
TL;DR: By choosing a suitable L, fuzzy sets and flou sets are obtained and the connection of these concepts with the continuous logic and n‐valued logics is shown.