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A Fuzzy Implication-Based Approach for Validating Climatic Teleconnections

open access: yesMathematics, 2022
Fuzzy logic, during recent decades, has evolved into one of the most influential scientific fields. To an extent, this is due to its applications which have a profound impact on the daily life of people worldwide.
Stefanos Makariadis, Basil Papadopoulos
doaj   +1 more source

On the first place antitonicity in QL-implications [PDF]

open access: yes, 2008
To obtain a demanded fuzzy implication in fuzzy systems, a number of desired properties have been proposed, among which the first place antitonicity, the second place isotonicity and the boundary conditions are the most important ones.
Shi, Yun   +3 more
core   +2 more sources

Fuzzy decision implications: interpretation within fuzzy decision context

open access: yesCAAI Transactions on Intelligence Technology, 2019
Fuzzy decision implication is an extension of decision implication in the fuzzy setting, serving to uncover the dependencies of fuzzy attributes.
Jing Zhang, Yanhui Zhai, Deyu Li
doaj   +1 more source

Implication functions in interval-valued fuzzy set theory [PDF]

open access: yes, 2013
Interval-valued fuzzy set theory is an extension of fuzzy set theory in which the real, but unknown, membership degree is approximated by a closed interval of possible membership degrees.
Deschrijver, Glad
core   +1 more source

Pseudo Overlap Functions, Fuzzy Implications and Pseudo Grouping Functions with Applications

open access: yesAxioms, 2022
Overlap and grouping functions are important aggregation operators, especially in information fusion, classification and decision-making problems. However, when we do more in-depth application research (for example, non-commutative fuzzy reasoning ...
Xiaohong Zhang   +6 more
doaj   +1 more source

On Fuzzy Negations Generated by Fuzzy Implications

open access: yesFormalized Mathematics, 2020
Summary We continue in the Mizar system [2] the formalization of fuzzy implications according to the book of Baczyński and Jayaram “Fuzzy Implications” [1]. In this article we define fuzzy negations and show their connections with previously defined fuzzy implications [4] and [5] and triangular norms and conorms [6].
openaire   +2 more sources

Fundamental properties of fuzzy rough sets based on triangular norms and fuzzy implications: the properties characterized by fuzzy neighborhood and fuzzy topology

open access: yesComplex & Intelligent Systems, 2023
Fuzzy rough set models are useful tools for dealing with fuzzy and real-valued data. They have been used in many real-world applications. In this paper, we investigate the fuzzy rough set model based on triangular norms and fuzzy implications.
Zhaohao Wang
doaj   +1 more source

Interval-valued and intuitionistic fuzzy mathematical morphologies as special cases of L-fuzzy mathematical morphology [PDF]

open access: yes, 2011
Mathematical morphology (MM) offers a wide range of tools for image processing and computer vision. MM was originally conceived for the processing of binary images and later extended to gray-scale morphology.
Deschrijver, Glad   +5 more
core   +1 more source

Research of Inference Rules on Decision Implication and Variable Decision Implication [PDF]

open access: yesJisuanji kexue yu tansuo, 2022
Formal concept analysis is a data analysis method based on concept lattice, while decision implication and variable decision implication are two decision knowledge representations of formal concept analysis.
XUE Dongqian, ZHAI Yanhui, ZHANG Shaoxia, LI Deyu, XU Weihua
doaj   +1 more source

An Overview of Fuzzy Implication and Its Generalizations

open access: yesMathematics
Fuzzy implication operators are vital in the modeling of uncertain reasoning, particularly in approximate reasoning and fuzzy inference systems. The objective of this survey is to provide a structured and comprehensive overview of fuzzy implication ...
Muhammad Gulzar   +2 more
doaj   +1 more source

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