Characterizations of Fuzzy Implications Generated by Continuous Multiplicative Generators of T-Norms

In this article, we define the k-generated implications by continuous multiplicative generators k of t-norms, along with the research lines of Yager's f-generated implications by continuous additive generators f of t-norms and g-generated implications by continuous additive generators g of t-co...

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Bibliographic Details
Published in:IEEE transactions on fuzzy systems 2021-10, Vol.29 (10), p.2988-3002
Main Author: Zhou, Hongjun
Format: Article
Language:English
Subjects:
<inline-formula xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"> <tex-math notation="LaTeX"> f</tex-math> </inline-formula>-generated implication
<inline-formula xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"> <tex-math notation="LaTeX"> g</tex-math> </inline-formula>-generated implication
<inline-formula xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"> <tex-math notation="LaTeX"> h</tex-math> </inline-formula>-generated implication
<inline-formula xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"> <tex-math notation="LaTeX"> k</tex-math> </inline-formula>-generated implication
<inline-formula xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"> <tex-math notation="LaTeX"> t</tex-math> </inline-formula>-norm
Additives
Analytical models
Computational modeling
Distributive equation
fuzzy implication
Fuzzy logic
Fuzzy reasoning
Generators
Indexes
Intersections
law of importation (LI)
Mathematical model
Norms
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