Journal ArticleDOI
Fuzzy set theory and its applications: a survey
Madan M. Gupta,R.K. Ragade +1 more
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TLDR
An introduction to fuzzy set theory is given, heavily influenced by the authors' work on interpreting fuzzy sets in terms of the semantic differential concept of evaluating concepts, and describing features by using a set of polar scales.About:
This article is published in IFAC Proceedings Volumes.The article was published on 1977-07-01. It has received 6 citations till now. The article focuses on the topics: Fuzzy set operations & Type-2 fuzzy sets and systems.read more
Citations
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Algebraic Characteristics of Anti-Intuitionistic Fuzzy Subgroups Over a Certain Averaging Operator
TL;DR: This paper investigates a necessary and sufficient condition for a anti-intuitionistic fuzzy set to be a-anti intuitionistic fuzzy subgroup and establishes a group isomorphism between this newly defined quotients group and the quotient group of group.
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Cumulative Prospect Theory Version with Fuzzy Values of Outcome Estimates
Oleg Uzhga-Rebrov,Peter Grabusts +1 more
TL;DR: In this article, a fuzzy version of the prospect theory, which allows handling fuzzy values of the decisions (prospects), is presented, and the theoretical foundations of the proposed version, an illustrative practical example, and conclusions based on the results obtained.
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μ -Fuzzy Filters in Distributive Lattices
TL;DR: In this article, the authors introduced the concept of fuzzy filters in distributive lattices and proved a one-to-one correspondence between the class of - fuzzy filters and the lattice of all open sets in.
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Fuzzy Annihilator Ideals of C -Algebra
TL;DR: In this article, the authors introduced the concept of relative fuzzy annihilator ideals in C-algebras and investigated some properties of fuzzy annihilators in terms of fuzzy points.
References
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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.
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Outline of a New Approach to the Analysis of Complex Systems and Decision Processes
TL;DR: By relying on the use of linguistic variables and fuzzy algorithms, the approach provides an approximate and yet effective means of describing the behavior of systems which are too complex or too ill-defined to admit of precise mathematical analysis.
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An Experiment in Linguistic Synthesis with a Fuzzy Logic Controller
E.H. Mamdani,S. Assilian +1 more
TL;DR: Fuzzy logic is used to convert heuristic control rules stated by a human operator into an automatic control strategy, and the control strategy set up linguistically proved to be far better than expected in its own right.
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Similarity relations and fuzzy orderings
TL;DR: An extended version of Szpilrajn's theorem is proved and various properties of similarity relations and fuzzy orderings are investigated and, as an illustration, a fuzzy preordering is investigated which is reflexive and antisymmetric.