Journal ArticleDOI
Two fuzzier implication operators in the theory of fuzzy power sets
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Two implication operators and resulting relationships between fuzzy sets are studied and the results compared with previous ones obtained with other implication operators are compared.About:
This article is published in Fuzzy Sets and Systems.The article was published on 1980-07-01. It has received 93 citations till now. The article focuses on the topics: Type-2 fuzzy sets and systems & Fuzzy set.read more
Citations
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Fuzzy sets in approximate reasoning, part 1: inference with possibility distributions
Didier Dubois,Henri Prade +1 more
TL;DR: This paper focuses on semantic approaches to approximate reasoning based on fuzzy sets, commonly exemplified by the generalized modus ponens, but also considers applications to current topics in Artificial Intelligence such as default reasoning and qualitative process modeling.
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A general concept of fuzzy connectives, negations and implications based on t-norms and t-conorms
TL;DR: All known connectives 'and'/'or' for fuzzy sets or some classes can be introduced as t-norms/t-conorms, where Ling's representation theorem is used as a basic tool, and which is illustrated by various known and new examples.
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Comparison of fuzzy reasoning methods
TL;DR: This paper deals with the properties of their methods in the case of 'generalized modus tollens', and investigates the other new fuzzy reasoning methods obtained by introducing the implication rules of many valued logic systems.
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Fuzzy power sets and fuzzy implication operators
Wyllis Bandler,Ladislav Kohout +1 more
TL;DR: The theory of fuzzy power sets is shown very naturally to require the use of a fuzzy implication operator and emphasis is placed on the dependence of the choice of operators upon the purposes the user has in hand.
Journal ArticleDOI
Semantics of implication operators and fuzzy relational products
TL;DR: A checklist paradigm is given, by which entirely new light is thrown upon the semantics of these operators, connecting them, in a unified way, with measures which might be made upon more refined data.
References
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Journal ArticleDOI
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.
Book
Many Valued Logic
TL;DR: In Ch. IX of his treatise On Interpretation (De interpretatione), Aristotle discussed the truth-status of alternatives regarding future-contingent matters, whose occurrence is not yet determinable by us, and may indeed actually actually be undetermined as discussed by the authors.
Journal ArticleDOI
Fuzzy power sets and fuzzy implication operators
Wyllis Bandler,Ladislav Kohout +1 more
TL;DR: The theory of fuzzy power sets is shown very naturally to require the use of a fuzzy implication operator and emphasis is placed on the dependence of the choice of operators upon the purposes the user has in hand.