6533b82efe1ef96bd129308c

RESEARCH PRODUCT

Optimization Under Fuzzy Max-t-Norm Relation Constraints

Reinis LamaSvetlana Asmuss

subject

Fuzzy modellingConstraint (information theory)Mathematical optimizationRelation (database)Mathematics::Metric GeometryT-normComposition (combinatorics)Fuzzy logicMathematicsInteger (computer science)

description

Fuzzy relation equations and inequalities play an important role in many tools of fuzzy modelling and have been extensively studied. In many practical applications they are used as constraints in optimization. Algorithms for specific objective functions have been proposed by many authors. In this paper we introduce a method to convert a system of fuzzy relation constraints with max-t-norm composition to a linear constraint system by adding integer variables. A numerical example is provided to illustrate the proposed method.

yearjournalcountryeditionlanguage
2019-05-03
https://doi.org/10.1007/978-3-030-16024-1_17