Задачі нечіткого лінійного програмування з двосторонніми обмеженнями і параметрами цільових функцій та обмежень у вигляді нечітких множин

• Main Author: Zack, Yuriy A.
• Format: Article
• Language: rus
• Published: The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute" 2018
• Subjects: fuzzy-linear programming; fuzzy-intervals with LR-representation of membership functions; conditions for dominance of fuzzy sets; two-way interval constraints; deterministic equivalent; нечеткое линейное программирование; fuzzy-интервалы с -пред-ставлением функций принадлежности; условия доминирования нечетких множеств; двухсторонние интервальные ограничения; детерминированный эквивалент; fuzzy-лінійне програмування; fuzzy-інтервали з LR-подан- ням функцій приналежності; умови домінування нечітких множин; двосторонні інтервальні обмеження; детермінований еквівалент
• Online Access: http://journal.iasa.kpi.ua/article/view/139961

The deterministic equivalents of the tasks of fuzzy linear programming with two-sided constraints on the deterministic values of variables that can take both positive and negative values are proposed, and the coefficients of the goal function and the linear constraint functions, as well as the left and right boundary values on their values, are fuzzy sets, represented by fuzzy-intervals with membership functions with LR-representation of the most general kind. Based on the rules of ranking and estimating the dominance of fuzzy sets considered in the work, conditions for unconditional (strict) and conditional (non-strict) fulfillment of restrictions are established. The different kinds of deterministic equivalents of the problem in which the execution of fuzzy constraints with different degrees of severity is required, involve solving not one but several sets of linear programming problems. The best possible solution is chosen.