On fuzzy relational equations and the covering problem

JL Lin, YK Wu, SM Guu - Information Sciences, 2011 - Elsevier
Previous studies have shown that fuzzy relational equations (FREs) based on either the max-
continuous Archimedean t-norm or the max-arithmetic mean composition can be …

[HTML][HTML] On the solvability of bipolar max-product fuzzy relation equations with the product negation

ME Cornejo, D Lobo, J Medina - Journal of Computational and Applied …, 2019 - Elsevier
This paper studies the solvability of the max-product fuzzy relation equations in which a
negation operator is considered. Specifically, the residuated negation of the product t-norm …

Bipolar fuzzy relation equations systems based on the product t‐norm

ME Cornejo, D Lobo, J Medina - Mathematical Methods in the …, 2019 - Wiley Online Library
Bipolar fuzzy relation equations arise as a generalization of fuzzy relation equations
considering unknown variables together with their logical connective negations. The …

Posynomial geometric programming problem subject to max–min fuzzy relation equations

XG Zhou, XP Yang, BY Cao - Information Sciences, 2016 - Elsevier
We discuss a class of posynomial geometric programming problem (PGPF), aimed at
minimizing a posynomial subject to fuzzy relational equations with max–min composition. By …

Multi-level linear programming subject to addition-min fuzzy relation inequalities with application in Peer-to-Peer file sharing system

XP Yang, XG Zhou, BY Cao - Journal of Intelligent & Fuzzy …, 2015 - content.iospress.com
Multi-level linear programming problem subject to addition-min fuzzy relation inequalities is
introduced to characterize a kind of optimization models in BitTorrent-like Peer-to-Peer file …

[PDF][PDF] A seventh bibliography of fractional programming

IM Stancu-Minasian - Adv. Model. Optim, 2013 - camo.ici.ro
This paper lists in alphabetical order by the name of the first author, 745 papers dealing with
fractional programming and its applications. This covers mainly the period 2005-2012 but it …

Solving nonlinear optimization problems with bipolar fuzzy relational equation constraints

J Zhou, Y Yu, Y Liu, Y Zhang - Journal of Inequalities and Applications, 2016 - Springer
This paper considers the problem of minimizing a nonlinear objective function subject to a
system of bipolar fuzzy relational equations with max-TL T_L composition, where TL T_L is …

Generalized min-max programming problems subject to addition-min fuzzy relational inequalities

YK Wu, YL Chiu, SM Guu - Fuzzy Sets and Systems, 2022 - Elsevier
In this paper, we explore a new generalized min-max programming problem with constraints
of addition-min fuzzy relational inequalities. This new generalized min-max programming …

[HTML][HTML] Geometric programming problem with single-term exponents subject to max-product fuzzy relational equations

XG Zhou, R Ahat - Mathematical and Computer modelling, 2011 - Elsevier
In this paper, an optimization model for minimizing an objective function with single-term
exponents subject to fuzzy relational equations specified in max-product composition is …

Latticized linear optimization on the unit interval

P Li, SC Fang - IEEE Transactions on Fuzzy Systems, 2009 - ieeexplore.ieee.org
This paper considers the latticized linear optimization (LLO) problem and its variants, which
are a special class of optimization problems constrained by fuzzy relational equations or …