انتخاب زندگی بواسطه اجرای تئوری بازی فازی

The paper describes model of dwelling selection, using fuzzy games theory. Two types of buildings are under consideration: traditional singe flat dwelling house and loft flat dwelling house. Four alternatives of heating system are taking into account: coal based, gas based, biomass based, and combined bio-mass and gas based systems. Alternatives are described by a criteria set. Values of the criteria are determined by simulation and according to the statistic. Fuzzy games are applied for decision aiding. The problem solution result shows that fuzzy matrix games theory is appropriate for such purposes.

Decision making in real life is selection process among feasible alternatives, taking into account several criteria. Various decision making approaches have been proposed to tackle the problem. The Multi-Criteria Decision Aid (MCDA) has been one of the very fast growing areas of Operations Research during the last decade. The MCDA often deals with ranking of alternatives from the best to the worst ones based on multiple criteria [3]. Traditional optimization, statistical and econometric analysis approaches used within the engineering context are often based on the assumption that the considered problem is well formulated and decision-makers usually consider the existence of a single objective, evaluation criterion or point of view that underlies the conducted analysis [53]. Since the suitability of a dwelling-house for living depends on a number of attributes, like temperature, noise isolation, annual heat requirements, etc., a multi-attribute decision making (MADM) methods are used for their assessment [18]. Multi-criteria classification problems have gained significant interest among researchers working on MCDA [8]. The criteria are often qualitative and conflicting. A decision should be made by taking relevant opinions from the experts because inherent complexity and uncertainty in a business environment necessitate the participation of many experts in the decision making process [28]. In contemporary management, the performance is evaluated against multiple criteria rather than considering a single factor-cost [11]. In decision-making involving multiple criteria, the basic problem stated by analysts and decision-makers concerns the way by which the final decision should be made [13]. Multi-criteria decision making (MCDM) is not a prescriptive answer but a transparent and informative decision process which helps to uncover how peoples' intuitive decision procedures can be informed by a structured rational analytic process [1]. MCDM is concerned with the ranking of decision alternatives based on preference judgements made on decision alternatives over a number of criteria [7]. Fuzzy theory has been regarded as a very important technique for quality management of distributed manufacturing system and attracts the attentions of academic and industry [46]. Model and using of dwelling selection, based on fuzzy game theory, is described in this paper. The rest of the paper is organized as follows: section 2 shows game theory application in engineering, according on the literature review; section 3 describes a review of fuzzy sets in multi-criteria decision making, short about fuzzy theory authors and detail about investigation methodology of fuzzy set theory and fuzzy games, and review of case study; section 4 is dedicated for results and discussion; section 5 summarize the conclusions.

Choosing apartment for living is multiple criteria problem. This case study shows the possibility to use the fuzzy set theory, combining with fuzzy games in decision making in choosing apartment for living. Also, paper uses combined technique's methodology to combine fuzzy sets and decision making. According to the fuzzy set theory general matrix is divided into two general decision making matrix of inner impact factors and outer impact factors. Second part of the calculation is by the help of fuzzy games compose the general decision making matrix and the fuzzy game decision making matrix. Results are ranked according on the minimax principle. Determination process goes threw a long calculation and values are transformed with a big algorithms, so the results are not so exact. But it doesn't impact on the choosing right solution. The fuzzy set theory is appropriate to use in different areas, because of its possibility to be adapt in a lot of ways of decision making. But it is still not popular in decision making in civil engineering.