linear optimization of fuzzy relation inequalities with max-lukasiewicz ‎composition

Authors

e. shivanian

abstract

in this paper, we study the finitely many constraints of fuzzy relation inequalities problem and optimize the linear objective function on this region which is defined with fuzzy max-lukasiewicz operator. in fact lukasiewicz t-norm is one of the four basic t-norms. a new simplification technique is given to accelerate the resolution of the problem by removing the components having no effect on the solution process. also, an algorithm and one numerical example are offered to abbreviate and illustrate the steps of the problem resolution ‎process.‎

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Journal title:
international journal of industrial mathematics

Publisher: science and research branch, islamic azad university, tehran, iran

ISSN 2008-5621

volume 7

issue 2 2015

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