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Foundations of reasoning with uncertainty via real-valued logics. [PDF]

Proc Natl Acad Sci U S A
Fagin R, Riegel R, Gray A.
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Fuzzy Linguistic Summaries and the Double Negation Property

Katarzyna Mis, Katarzyna Kaczmarek-Majer, Michał Baczyński   +2 more
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Interval Negation in Fuzzy Logics

NAFIPS 2007 - 2007 Annual Meeting of the North American Fuzzy Information Processing Society, 2007
This paper continues investigation of systems of fuzzy interval logics based on the Checklist Paradigm semantics of Bandler and Kohout. The paper looks at the alternative negations that may appear in the interval system rti\. In the previous papers dealing with checklist paradigm based interval systems the 2ary connectives were the interval connectives
Eunjin Kim, Ladislav J. Kohout
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Fuzzy Decision Making Based on Fuzzy Logic with Contradictory Negation, Opposite Negation and Medium Negation

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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On n-dimensional strict fuzzy negations

2016 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2016
n-dimensional fuzzy sets are an extension of fuzzy sets where the membership values are n-truples of real numbers in the unit interval [0, 1] ordered in increasing order, called n-dimensional intervals. The set of n-dimensional intervals is denoted by L n ([0, 1]).
Ivan Mezzomo, Benjamin C. Bedregal, Renata H.S. Reiser, Humberto Bustince, Daniel Paternain   +4 more
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Fuzzy Implications Generating from Fuzzy Negations

2018
A basic building block in the foundation of fuzzy neural networks is the theory of fuzzy implications. Fuzzy implications play a crucial role in this topic. The aim of this paper is to find a new method of generating fuzzy implications. based on a given fuzzy negation.
Georgios Souliotis, Basil Papadopoulos
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On interval fuzzy negations

Fuzzy Sets and Systems, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Negations on type-2 fuzzy sets

Fuzzy Sets and Systems, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hernández, Pablo, Cubillo, Susana, Torres-Blanc, Carmen   +2 more
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Atanassov’s Intuitionistic Contractive Fuzzy Negations

2010
In this work we consider the concept of contractive Atanassov’s intuitionistic mapping. In particular, we show that with our definitions, the only strict (strong) contractive negation is the standard one.
Benjamin Bedregal, Humberto Bustince, Javier Fernandez, Glad Deschrijver, Radko Mesiar   +4 more
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Moore Continuous n-Dimensional Interval Fuzzy Negations

2018 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2018
n-dimensional fuzzy sets are an generalizing some extensions of fuzzy sets, such as, interval-valued fuzzy sets, interval-valued Atanassov intuitionistic fuzzy sets and fuzzy mul-tisets, where the membership values are n-truples of real numbers in the unit interval [0, 1] ordered in increasing order, called n-dimensional intervals.
Ivan Mezzomo, Benjamin Bedregal, Thadeu Milfont   +2 more
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