Results 11 to 20 of about 643 (175)

Extensions of fuzzy connectives on ACDL [PDF]

open access: yesKybernetika, 2019
Summary: The main goal of this paper is to construct fuzzy connectives on algebraic completely distributive lattice (ACDL) by means of extending fuzzy connectives on the set of completely join-prime elements or on the set of completely meet-prime elements, and discuss some properties of the new fuzzy connectives.
Hui Liu, Bin Zhao
openaire   +2 more sources

On (weighted) k-order fuzzy connectives [PDF]

open access: yesInternational Conference on Fuzzy Systems, 2010
In this paper, we present new fuzzy connectives that allow to specify an order to the considered operation. These operators are generalization of usual fuzzy connectives, i.e. triangular norms and triangular conorms. A potential use of the proposed operators consists in assessing to what extent several values are high or low in unconstrained fuzzy sets
Hoel Le Capitaine, Carl Frélicot
openaire   +3 more sources

S-Implications on Complete Lattices and the Interval Constructor

open access: yesTrends in Computational and Applied Mathematics, 2008
The aim of this work is to present an approach of interval fuzzy logic based on complete lattices. In particular, we study the extensions of the notions of t-conorms, fuzzy negations and S-implication, from the unit interval to arbitrary complete ...
R.H.S. Reiser   +4 more
doaj   +1 more source

The creation of three logical connectors to reapprove how comprehensive and effective the Neutrosophic logic is compared to the fuzzy logic and the classical logic [PDF]

open access: yesNeutrosophic Sets and Systems, 2018
The main objective of this research is a simple attempt to suggest three new logical connectors and establish an equation a chart of truth for each of them.
Salah Bouzina, Djamel Hamoud
doaj   +1 more source

Stabilizers in EQ-algebras

open access: yesOpen Mathematics, 2019
The main goal of this paper is to introduce the notion of stabilizers in EQ-algebras and develop stabilizer theory in EQ-algebras. In the paper, we introduce (fuzzy) left and right stabilizers and investigate some related properties of them.
Cheng Xiao Yun   +3 more
doaj   +1 more source

On the Generalized Cross-Law of Importation in Fuzzy Logic

open access: yesMathematics, 2020
Recently, Baczyński et al. introduced two pexider-type generalisations of the law of importation in fuzzy logic, i.e., I(C(x, α), y)=I(x, J(α, y) (GLI) and I(C(x, α), y)=J(x, I(α, y) (CLI), where C is a fuzzy conjunction and I, J are fuzzy implications ...
Yifan Zhao, Kai Li
doaj   +1 more source

Multi-fuzzy Rough Sets based on Implicators and Continuous t-norms

open access: yesFuzzy Information and Engineering, 2017
This paper extends the study of multi-fuzzy rough sets using an implicator and a continuous t-norm and thus introduces multi-fuzzy rough sets based on fuzzy logical connectives.
Gayathri Varma, Sunil Jacob John
doaj   +1 more source

Fuzzy Connectives for Efficient Image Reduction and Speeding Up Image Analysis

open access: yesIEEE Access, 2018
We discuss non-monotone fuzzy connectives in large-scale image processing. We present an image reduction algorithm capable of differentiating between fine image details and noise in the image, particularly salt and pepper noise.
Gleb Beliakov   +4 more
doaj   +1 more source

Some geometrical methods for constructing contradiction measures on Atanassov's intuitionistic fuzzy sets

open access: yes, 2011
Trillas et al. (1999, Soft computing, 3 (4), 197–199) and Trillas and Cubillo (1999, On non-contradictory input/output couples in Zadeh's CRI proceeding, 28–32) introduced the study of contradiction in the framework of fuzzy logic because of the ...
Torres Blanc, Carmen   +5 more
core   +1 more source

Generators of Aggregation Functions and Fuzzy Connectives [PDF]

open access: yesIEEE Transactions on Fuzzy Systems, 2016
We show that the class of all aggregation functions on $[0,1]$ can be generated as a composition of infinitary sup-operation $\bigvee$ acting on sets with cardinality not exceeding $\mathfrak{c}$, $b$-medians $\mathsf{Med}_b$, $b\in[0,1[$, and unary aggregation functions $1_{]0,1]}$ and $1_{[a,1]}$, $a\in ]0,1]$.
Radomír Halas   +2 more
openaire   +2 more sources

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