Multiple State Problem Reduction and Decision Making Criteria Hybridization

Authors

• Вадим Васильович Романюк Khmelnitskiy National University, Ukraine

Keywords:

Decision making problem, Multiple state problem, Reduction, Hybridization of criteria

Abstract

Background. Due to that decision making is always involving a great deal of approaches and heuristics, and poor statistics and time course can generate series of decision making problems, the problem of regarding multiple states and criteria is considered.

Objective. The goal is to develop an approach for reducing the multiple state decision making problem along with regarding multiple criteria by their hybridization to solve disambiguously a single decision making problem.

Methods. An algorithm of reducing a finite series of decision making problems to a single problem is suggested. Also a statement is formulated to hybridize decision making criteria allowing to get a single optimal alternatives’ set.

Results. Practically, this set contains just a single alternative. And, owing to the law of large numbers (of multiple criteria), the greater number of criteria is involved into the hybridization, the more reliable decision by the formulated statement is.

Conclusions. The represented multiple state problem reduction and decision making criteria hybridization both provide a researcher with the one decision making problem whose number of optimal solutions must be less than that by any other approaches. Besides, it allows to rank alternatives at higher reliability and validity. Furthermore, reliable weights (priorities) for scalarizing multicriteria problems are produced.

Author Biography

Вадим Васильович Романюк, Khmelnitskiy National University

Vadim V. Romanuke, doctor of sciences (engineering), associate professor, professor at the Khmelnitskiy National University

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