Solution sets of finite fuzzy relation equations with sup-inf composition over bounded Brouwerian lattices

Authors:
Xue-Ping Wang;Shan Zhao
Affiliations:
College of Mathematics and Software Science, Sichuan Normal University, Chengdu, Sichuan 610066, PR China;Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, PR China
Venue:
Information Sciences: an International Journal
Year:
2013

Citing 14
Cited 8

On matrix equations in a class of complete and completely distributive lattices

Fuzzy Sets and Systems
Finite fuzzy relation equations with unique solution in complete brouwerian lattices

Fuzzy Sets and Systems
On solving relational equations in Brouwerian lattices

Fuzzy Sets and Systems
Fuzzy linear systems

Fuzzy Sets and Systems
Linear independence in bottleneck algebras

Fuzzy Sets and Systems
Method of solution to fuzzy equations in a complete Brouwerian lattice

Fuzzy Sets and Systems
Algebraic analysis of fuzzy systems

Fuzzy Sets and Systems
Some properties of infinite fuzzy relational equations on complete Brouwerian lattices

Fuzzy Sets and Systems
Solution sets of fuzzy relational equations on complete Brouwerian lattices

Information Sciences: an International Journal
On the minimal solutions of max--min fuzzy relational equations

Fuzzy Sets and Systems
Resolution of matrix equations over arbitrary Brouwerian lattices

Fuzzy Sets and Systems
An algorithm for solving fuzzy relation equations with max-T composition operator

Information Sciences: an International Journal
Minimization of linear objective functions under the constraints expressed by a system of fuzzy relation equations

Information Sciences: an International Journal
Invertible matrices and semilinear spaces over commutative semirings

Information Sciences: an International Journal

Conditions for the existence of the least solution and minimal solutions to fuzzy relation equations over complete Brouwerian lattices

Information Sciences: an International Journal
Complete solution sets of inf → interval-valued fuzzy relation equations

Information Sciences: an International Journal
Resolution of a system of fuzzy polynomial equations using the Gröbner basis

Information Sciences: an International Journal
Solution to the covering problem

Information Sciences: an International Journal
Minimal join decompositions and their applications to fuzzy relation equations over complete Brouwerian lattices

Information Sciences: an International Journal
Resolution of a system of the max-product fuzzy relation equations using LºU-factorization

Information Sciences: an International Journal
Some properties of infinite fuzzy relational equations with sup-inf composition

Information Sciences: an International Journal
IMTLMV-filters and fuzzy IMTLMV-filters of residuated lattices

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology

Quantified Score

Hi-index	0.07

Visualization

Abstract

This paper considers the resolution of finite fuzzy relation equations with sup-inf composition over a bounded Brouwerian lattice. The solution sets of finite fuzzy relation equations on a bounded Brouwerian lattice are described in a similar way as those of linear spaces of n-dimensional vectors in linear algebra.