We present some interesting properties related to the area compensation procedure to compare fuzzy numbers. It has been proved that this method produces more than a fuzzy interval order: it induces a ranking of fuzzy numbers. Some further results are given about the transitivity property and about computational aspects. Extensions to non-normal fuzzy numbers and fuzzy quantities are also proposed.

Solution of a fuzzy transportation problem determines the transportation schedule that minimizes the total fuzzy transportation cost while satisfying the availability and requirement limits. A number of methods have been devised to solve a fuzzy transportation problem, but the solution obtained by some methods is not optimal. Obviously, the method which gives the optimal solution should be pref...

the intuitionistic fuzzy set has been applied to game theory very rarely since it was introduced by atanassov in 1983. the aim of this paper is to develop an effective methodology for solving matrix games with payoffs of atanassov’s triangular intuitionistic fuzzy numbers (tifns). in this methodology, the concepts and ranking order relations of atanassov’s tifns are defined. a pair of bi-object...

-The multi-criteria decision making (MCDM)problems with fuzzy preference information on alternatives are essential problems of the importance of weighting and ranking. In order to solve this problem, Analytical Hierarchy Process(AHP) and fuzzy comprehensive evaluation method are coupled to form a new approach named Fuzzy-AHP.This method is different from the traditional FAHP,which used to facil...

The evaluation of quality of the railway passenger service is an important way to know the quality of the railway passenger service. This paper firstly constructs an evaluation indicator system of the quality of the railway passenger service on the foundation of the related literatures, and constructs the multiple-attribute evaluation matrix and indicator weight vector based on the linguistic v...

Aiming at configuration design for mass customization, this paper develops a fuzzy ranking methodology for concept evaluation. The fuzzy preference relation is applied to modeling the fuzziness on the level of a single criterion as well as on a global level. The ranking approach integrates linguistic terms and fuzzy numbers into the fuzzy preference model so as to characterize both intangible a...

The fuzzy logic operators are used to decide the following multicriteria decision-making problem. A finite set of alternatives is evaluated by a set of fuzzy criteria, i.e., fuzzy relations, which may be either fuzzy preference, or similarity, or likeness relations. The problem is to construct an evaluation procedure to compare the set of alternatives according to the whole set of criteria, i.e...

Personnel evaluation is an important process in human resource management. The multicriteria nature and the presence of both qualitative and quantitative factors make it considerably more complex. In this study, a fuzzy hybrid multicriteria decision-making (MCDM) model is proposed to personnel evaluation. This model solves personnel evaluation problem in a fuzzy environment where both criteria ...

Vital decisions made at the strategic level in an organization are not only intricate but also costly to alter. It is therefore important to find a comprehensive approach to deal with such a possibility. One of the major problems of a common balanced scorecard (BSC)-based model in strategic management is lack of a ranking system for strategic objectives in order to enable prioritization of the ...