it is well known fact that binary relations are generalized mathematical functions. contrary to functions from domain to range, binary relations may assign to each element of domain two or more elements of range. some basic operations on functions such as the inverse and composition are applicable to binary relations as well. depending on the domain or range or both are fuzzy value fuzzy set, i...

This study presents a new early warning evaluating method and decision mechanism for urban emergency in which the risk factors are assessed by fuzzy numbers. By using the fuzzy preference relation matrix and the extended fuzzy AHP, the relative weight of each risk factor can be estimated. Then we evaluate the total fuzzy risk value by aggregating the severity of loss of risk factor and the rela...

The aim of this work is to integrate the ideas of flexibility and uncertainty into Allen’s interval-based temporal logic [1], defining a new formalism (IA) which extends classical Interval Algebra (IA). We refer to Dubois, Fargier & Prade approach to Fuzzy Constraint Satisfaction Problem (FCSP ) [3], in which constraints are satisfied to a degree; this framework is based on Fuzzy Sets and Possi...

Yager @IEEE Trans Syst Man Cybern B 2004;34:1952–1963# introduced a continuous interval argument OWA ~C-OWA! operator, which extends the ordered weighted averaging ~OWA! operator, introduced by Yager @IEEE Trans Syst Man Cybern B 1988;18:183–190#, to the case in which the given argument is a continuous valued interval rather than a finite set of values. In this article, we utilize the C-OWA ope...

E-commerce has substantially affected the business world in the recent, and its importance is expected to continue increasing in future. Since implementing B2B e-commerce in small and medium enterprises (SMEs) is a long-term commitment and such enterprises are more limited in terms of resources than large enterprises, the predicted value of successful implementation is extremely useful in decid...

This investigation establishes an analytical hierarchy framework to help SMEs predicting implementation success as well as identifying the actions necessary before implementing B2B e-commerce to increase e-commerce initiative feasibility. The consistent fuzzy preference relation is used to improve decision making consistency and effectiveness. A case study involving six influences solicited fro...

As international corporate activities increase, their staffing involves more strategic concerns. However, foreign assignments have many differences, and dissatisfaction with the host country is a known cause of expatriate failure. From the point of view of an expatriate candidate, the decision of whether to take an expatriate assignment can be regarded as a FMCDM (fuzzy multiple criteria decisi...

In this study, we first introduce the fuzzy sets, soft sets, fuzzy soft sets and their related properties. We then present the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) that is one of classical Multiple Attribute Decision Making (MADM) methods. We also present the Grey Relation Method. In the main part of this study, we extend the TOPSIS method on the fuzzy soft se...

The paper presents a brief description of algorithms for solving fuzzy multicriteria decision making problems. The evaluations of the alternatives by the criteria can be real numbers by different scales, fuzzy preference relations by each criterion or trapezoidal fuzzy numbers by the criteria. The weights of the criteria can be real numbers, weighting functions or fuzzy relation between the cou...

This note deals with the problem of choosing on the basis of a fuzzy preference relation. In the area of MCDM, such a problem occurs with outranking methods using fuzzy relations such as ELECTRE III. In this note, we study a choice procedure based on the ‘min in favor’. We show that it is the only one to satisfy a system of three independent axioms.