I. S. Soldatenko, D. E. Pil'shchikov, A. V. Yazenin, “On the method of solving one problem of necessary optimization”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2008, Issue 10,Pages <nobr>109

Probabilistic Possibilistic Models

On the method of solving one problem of necessary optimization

I. S. Soldatenko^a, D. E. Pil'shchikov^ab, A. V. Yazenin^a

^a Tver State University, Department of Applied Mathematics, Tver
^b FSUE "research institute of information technologies", Tver

Abstract: Level optimization task with mutually related parameters under necessity measure is investigated in the article. Indirect solution method based on building of equivalent deterministic analogue is proposed. Its properties are studied. Results which help to determine relationship between possibility and necessity optimization models are received.

Keywords: possibilistic optimization, possibility measure, necessity measure, weak t-norm, indirect solution method.

UDC: 519.95

Received: 05.09.2008
Revised: 15.09.2008