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Solving linear equations by fuzzy quasigroups techniques

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TLDR
It is proved that a fuzzy quasigroup can equivalently be characterized as a structure whose quotients of cut-substructures with respect to cuts of the fuzzy equality are classical quasigroups.
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This article is published in Information Sciences.The article was published on 2019-07-01 and is currently open access. It has received 9 citations till now. The article focuses on the topics: Fuzzy set operations & Fuzzy number.

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Comprehensive study on complex-valued ZNN models activated by novel nonlinear functions for dynamic complex linear equations

TL;DR: The convergence and robustness of the two Cv-ZNN models are analyzed comprehensively and show that the corresponding stable error can rapidly converge to zero in finite time, with the upper limit of constriction time calculated.
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A fuzzy adaptive zeroing neural network with superior finite-time convergence for solving time-variant linear matrix equations

TL;DR: In this article , a fuzzy adaptive zeroing neural network (FAZNN) model was proposed to solve the time-variant linear matrix equation (TVLME) problem.
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On the representations of L-equivalence relations on L-fuzzy sets with applications to locally vague environments

TL;DR: This paper sets up a method for constructing L-equivalence relations on L-fuzzy sets by means of quasi-pseudo-metrics, and points out how they are represented by families of L- fuzzy subsets of L to elucidate conceptual structures of locally vague environments.
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Ω-groups in the language of Ω-groupoids

TL;DR: It is shown that linear equations can be uniquely solved in these structures, so called weak Ω-groups, for which different neutral elements and different inverses of the same member are equal up to theΩ-equality.
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A review on history, trends and perspectives of fuzzy linear programming

TL;DR: A literature review and analysis of fuzzy linear programming models and methods can be found in this paper , where the authors analyze the timeline of publication of the most important works in the field and evaluate the influence of relevant papers using a time-weighted index based on the amount of citations.
References
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Book

Introduction to lattices and order

TL;DR: The Stone Representation Theorem for Boolean algebras and its application to lattices in algebra can be found in this article, where the structure of finite distributive lattices and finite Boolean algebraic structures are discussed.
Journal ArticleDOI

L-fuzzy sets

TL;DR: This paper explores the foundations of, generalizes, and continues the work of Zadeh in [I] and [2].
Book

Fuzzy Relational Systems: Foundations and Principles

TL;DR: This text discusses phenomena hidden in the ordinary bivalent case, as well as new topics in fuzzy relational systems, such as object-attribute fuzzy relations and fuzzy concept latices, similarity, and fuzzy closure operators.
Book

Fuzzy Relation Equations and Their Applications to Knowledge Engineering

TL;DR: Fuzzy Relation Equations with Equality and Difference Composition Operators and Handling Fuzziness in Knowledge-Based Systems.
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