Inequality relation between fuzzy numbers and its use in fuzzy optimization
Fuzzy Sets and Systems, 1985The inequality relation between two fuzzy numbers is investigated. A certain type of such a relation motivated by practical interpretation is proposed, and its correspondence with the usual lattice-type relation generated by the extended maximum and minimum operators and its possible interpretation are discussed.
Ramík, Jaroslav, Římánek, Josef
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On optimizing a linear objective function subjected to fuzzy relation inequalities
Fuzzy Optimization and Decision Making, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zahra Mashayekhi, Esmaile Khorram
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Fuzzy mathematical programming based on some new inequality relations
Fuzzy Sets and Systems, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jaroslav Ramík, Heinrich Rommelfanger
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Extremal solutions to fuzzy relation equations and inequalities with three unknowns
Journal of Intelligent & Fuzzy Systems, 2020A large number of studies have investigated the systems of fuzzy relation equations and inequalities, which have a much wider field of application. In this paper, we study several types of systems of fuzzy relation equations and inequalities consisting of a given family of k -ary fuzzy ...
Sha Qiao, Ping Zhu 0001
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Linear optimization on Hamacher-fuzzy relational inequalities
2017In this paper, optimization of a linear objective function with fuzzy relational inequality constraints is investigated where the feasible region is formed as the intersection of two inequality fuzzy systems and Hamacher family of t-norms is considered as fuzzy composition. Hamacher family of t-norms is a parametric family of continuous strict t-norms,
Ghodousian, Amin, Nouri, Mohammadsadegh
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A comment on “The quadratic programming problem with fuzzy relation inequality constraints”
Computers & Industrial Engineering, 2016Point out some deficiencies and errors found in the paper which are proposed by Molai.Analysis of the cause of the error.Define a new definition of FRI path of max-product fuzzy relation inequality.Propose some new results. This note provides counterexamples to illustrate that Definition 1 and Theorem 2 which are proposed by Molai (2012) are incorrect.
Yubin Zhong, Xue-Gang Zhou, Miao-yu Wu
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Column stacking approach to resolution of systems of fuzzy relational inequalities
Journal of the Franklin Institute, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shuling Wang 0001, Haitao Li 0001
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Lexicography minimum solution of max-min fuzzy relation inequalities
2018 14th International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD), 2018Lexicography minimum solution is defined to describe a system of fuzzy relation inequality(FRI) with max-min composition is introduced in this paper. It can be applied to P2P file sharing system when we consider its priority rank of the terminals of the networking.
Hai-Tao Lin, Xiao-Peng Yang 0001
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Leximax minimum solution of addition-min fuzzy relation inequalities
Information Sciences, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Min-Product Fuzzy Relation Inequalities with Application in Supply Chain
2018 14th International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD), 2018Min-product fuzzy relation inequalities is introduced to characterise the pricing relation in a supply chain system. In such system, all the retailers are supplied with some kind of target commodities. Meanwhile, every supplers should be able to supply its local commodities to at least one retailer.
Huimei Guo +4 more
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