2014
DOI: 10.1007/s00500-014-1464-9
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Linear optimization with mixed fuzzy relation inequality constraints using the pseudo-t-norms and its application

Abstract: This paper studies the minimization problem of a linear objective function subject to mixed fuzzy relation inequalities (MFRIs) over finite support with regard to max-T 1 and max-T 2 composition operators, where T 1 and T 2 are two pseudo-t-norms. We first determine the structure of its feasible domain and then show that the solution set of a MFRI system is determined by a maximum solution and a finite number of minimal solutions. Moreover, sufficient and necessary conditions are proposed to check whether the … Show more

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Cited by 6 publications
(4 citation statements)
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“…The constraint part of problem (1) is to find a set of solution vectors x ∈ [0, 1] n for the following system of bipolar fuzzy relation equations…”
Section: The Characterizations Of Its Feasible Domainmentioning
confidence: 99%
See 3 more Smart Citations
“…The constraint part of problem (1) is to find a set of solution vectors x ∈ [0, 1] n for the following system of bipolar fuzzy relation equations…”
Section: The Characterizations Of Its Feasible Domainmentioning
confidence: 99%
“…After it, we explain the modified branch and bound (B&B) method with the jump-tracking technique to solve the optimization problem (11). Then we present an algorithm for resolution of problem (1). At first, we need to express the following theorem.…”
Section: An Algorithm For Resolution Of Problem (1)mentioning
confidence: 99%
See 2 more Smart Citations