The main goal is to illustrate that the so-called indirect function of a cooperative game in characteristic function form is applicable to determine the nucleolus for a subclass of coalitional games called compromise stable TU games. In accordance with the Fenchel-Moreau theory on conjugate functions, the indirect function is known as the dual representation of the characteristic function of th...

The aim of this paper is to elaborate an in-silico test of advanced intelligent control and optimization algorithms based on the concepts of multicriteria decision for productive bioprocesses in the medical biotechnologies domain. In the framework of this study it has been designed an intelligent control system based on fuzzy logic. The design of the fuzzy control system arises from the human e...

We consider direct markets, pure exchange economies in which agents supply their time, when they are subject to location, time, and free disposal constraints. If agents’ entire time endowment has to be devoted to the market (no freedisposal), such economies generate the entire class of TU-games, proving that every TU-game is a market game, and thus generalizing Shapley and Shubik’s (1969) and G...

The transferable utility (TU) cooperative games are used as an effective mathematical representation of cooperation and coalitions forming. This contribution deals with a modified form of such games in which the expected pay-offs of coalitions are known only vaguely, where the vagueness is modelled by means of fuzzy quantities and some other fuzzy set theoretical concepts. Such games were inves...

The problem of multicriteria control on the basis of aggregate utility maximizing is considered. The system utility distribution algorithm in case of unequal criteria set by priority vector, has been developed for strongly coupled technical and organized systems with transferable utility. The Pareto efficiency is proved for the distribution generated on the algorithm basis.

We elaborate further on the reasons for the lack of equality between interval weighted averages and interval-based convex sums and highlight its consequences on the cogency of multicriteria decision evaluation procedures based on the use of fuzzy interval weights.

We study a special class of cooperative games with transferable utility (TU), called -attribute games. Every player in an game is endowed vector attributes that can be combined additive fashion; is, if players form coalition, the attribute this coalition obtained by adding its members. Another fundamental feature their characteristic function defined continuous —the value depends only on evalua...

service oriented enterprises (soes) are subject to constant change and variation. in this paper, the changes are considered from an economic perspective based on service culture notion. once a change is implemented, the costs of some member services may increase, whereas the costs of some other services may reduce. we construct a game theoretic model trying to capture the possible conflicting i...

The present paper is dedicated to investigating weighted allocation rules under fuzzy multicriteria situations. In real-world situations, participants may represent administrative departments of different natures in the management system; be able perform their duties economic model. addition, adopt relative operating levels situations and effectively engage multiple objectives operational proce...