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Fuzzy Logics With an Additional Involutive Negation
Fuzzy Sets and Systems, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Radko Mesiar +2 more
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International Journal of Uncertainty, Fuzziness and Knowlege-Based Systems, 2017 This paper studies the conjugate functions related to main connectives of the Intervalvalued Atanassov’s Intuitionistic Fuzzy Logic. The relationships among automorphism classes are formalized by the ϕ-representability theorem, passing from ...
Renata Reiser, Benjamin Bedregal
exaly +2 more sources
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Negations on Type-2 Fuzzy Sets
Fuzzy Sets and Systems, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pablo Hernández-Varela
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On the Solvability of Bipolar Max-Product Fuzzy Relation Equations With the Standard Negation [PDF]
Fuzzy Sets and Systems, 2021 Bipolar fuzzy relation equations arise when unknown variables together with their logical negations appear simultaneously in fuzzy relation equations.
Jesus Medina +2 more
exaly +2 more sources
On the Solvability of Bipolar Max-Product Fuzzy Relation Equations With the Product Negation [PDF]
Journal of Computational and Applied Mathematics, 2019 This paper studies the solvability of the max-product fuzzy relation equations in which a negation operator is considered. Specifically, the residuated negation of the product t-norm has been introduced in these equations in order to increase the ...
Jesus Medina +2 more
exaly +2 more sources
International Journal of Approximate Reasoning, 2020
In traditional logic, every statement is either true or false. In real life, people are often not certain about their statements. Zadeh proposed to describe different degrees of certainty by numbers from the interval \([0,1]\); this is one of the main ideas behind \textit{fuzzy logic}.
Benjamin Bedregal, Ivan Mezzomo
exaly +4 more sources
In traditional logic, every statement is either true or false. In real life, people are often not certain about their statements. Zadeh proposed to describe different degrees of certainty by numbers from the interval \([0,1]\); this is one of the main ideas behind \textit{fuzzy logic}.
Benjamin Bedregal, Ivan Mezzomo
exaly +4 more sources
On antonym and negate in fuzzy logic
International Journal of Intelligent Systems, 1999The paper analyses the antonyms in natural language and the possibility to model their meaning using fuzzy set theory. The presentation is extensional, when the meaning of words of natural language is modeled using fuzzy sets being functions on some universe. A specific case is supposed when the universe is formed by an interval of real numbers.
Adolfo R. de Soto, Enric Trillas
openaire +3 more sources
New Types of Contrapositivisation of Fuzzy Implications With Respect to Fuzzy Negations
Information Sciences, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Joan Torrens, I Aguilo, J Suñer
exaly +4 more sources
Residuated fuzzy logics with an involutive negation
Archive for Mathematical Logic, 2000Residuated fuzzy logic calculi are related to continuous t-norms, which are used as truth functions for conjunction, and their residua as truth functions for implication. In these logics, a negation is also definable from the implication and the truth constant 0̄, namely ¬φ is φ → 0̄.
Francesc Esteva +3 more
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2012
FLcom is a fuzzy propositional logic with contradictory negation, opposite negation and medium negation which corresponds to fuzzy set FScom. Based on theories of FLcom, this paper took a financial decision making for example, adopted Distance Ratio Function to give an evaluation to fuzzy propositional, gave a method to ascertain value of ( in the ...
Shanshan Wang, Zhenghua Pan, Lei Yang
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FLcom is a fuzzy propositional logic with contradictory negation, opposite negation and medium negation which corresponds to fuzzy set FScom. Based on theories of FLcom, this paper took a financial decision making for example, adopted Distance Ratio Function to give an evaluation to fuzzy propositional, gave a method to ascertain value of ( in the ...
Shanshan Wang, Zhenghua Pan, Lei Yang
openaire +2 more sources