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Intuitionistic fuzzy numbers extend fuzzy numbers and they are characterized by two functions that express the degree of membership and respectively non-membership. Therefore, intuitionistic fuzzy numbers better quantify uncertain information that occurs in many real situations and can be successfully used in multicriteria decision making (MCDM) methods. MCDM is a process of problem identification, construction of preferences, evaluation of alternatives and determination of the best alternative. Intuitionistic fuzzy numbers aggregating and ranking are still open research topics. In this paper we propose a MCDM method based on trapezoidal intuitionistic fuzzy numbers (TIFNs). We use two aggregation operators and four ranking methods with TIFNs in order to obtain eight hierarchies of the given alternatives to assist in making a decision. An algorithm for ranking alternatives based on performance of alternatives versus criteria and weights of the given criteria, both represented by TIFNs is elaborated. The applicability of the proposed method is shown by a numerical example. [ABSTRACT FROM AUTHOR]

A successful indirect method to calculate the importance of the attributes in services is that of correlation between the performance of attributes and the overall satisfaction such as they are perceived by customers. Often, in practice, the input data must be considered as fuzzy numbers, therefore it is completely justified our aim in the present paper, to give an indirect method of calculation of the importance of attributes in the fuzzy case, based on the correlation coefficient. The main benefits are related especially with the importance-performance analysis and multicriteria decision making methods. The effective computation is based on the Zadeh's extension principle. The expected value, as a very simple and with suitable properties characteristic associated to a fuzzy number, is used for defuzzification and an immediate interpretation of the results. A practical method, algorithms and illustrative examples are given. The results of a survey with respect to the quality of hotel services in Oradea (Romania) are processed in accordance with our method. [ABSTRACT FROM AUTHOR]

In the present paper we extend fuzzy multicriteria decision making methods elaborated in some recent articles. We use intervals of trapezoidal fuzzy numbers instead of trapezoidal fuzzy numbers, which allows two choices or even a intermediate responses in a survey. The expected value is used for the ranking of intervals of trapezoidal fuzzy numbers. We elaborate an algorithm of rankings the alternatives versus criteria and weights of criteria given by intervals of trapezoidal fuzzy numbers. Theoretical considerations are illustrated by a practical example. [ABSTRACT FROM AUTHOR]