The purpose of the paper is to study how to solve a type of matrix games with payoffs of triangular fuzzy numbers. In this paper, the value of a matrix game with payoffs of triangular fuzzy numbers has been considered as a variable of the triangular fuzzy number. First, based on two auxiliary linear programming models of a classical matrix game and the operations of triangular fuzzy numbers, fu...

A fuzzy option prioritization technique is developed to efficiently model uncertain preferences of DMs in strategic conflicts as fuzzy preferences by using the decision makers’ (DMs’) fuzzy truth values of preference statements at feasible states within the framework of the Graph Model for Conflict Resolution. The preference statements of a DM express desirable combinations of options or course...

Here are many situations in real applications of decision making where we deal with uncertain conditions.  Due to the different sources of uncertainty,  since its original definition of fuzzy sets in 1965 cite{zadeh1965},  different generalizations and extensions of fuzzy sets have been introduced: Type-2 fuzzy sets cite{6,13}, Intuitionistic fuzzy sets cite{1}, fuzzy multi-sets cite{37} and et...

Throughout this paper, our  main idea is to analyze the Arrovian approach in a fuzzy context, paying attention to different extensions of the classical Arrow's model arising in mathematical Social Choice to aggregate preferences that the agents define on a set of alternatives. There is a wide set of extensions. Some of them give rise to an impossibility theorem as in the Arrovian classical  mod...

Route planners are systems which help users select a route between two locations. In such a context, personalization mechanisms notably aim at taking into account user preferences so as to identify the best route(s) among a set of possible answers. In this paper, we present a framework based on fuzzy set theory for modeling complex user preferences. We provide a typology of preferences which ma...

In the social decision making context, a manipulator attempts to change the social choice in his favor by misrepresenting his preferences. Gibbard and Satterthwaite [7,10] established independently that a strategic manipulation can be observed when using any non-dictatorial voting choice procedure. In this paper, we are interested in the manipulation of the social choice when individuals reveal...

Fuzzy Petri Net for Web Service Composition (FPN4WSC) aims to compose the individual web services into more complex one. It is a workflow model which is hybridization between Petri net, SHOP2, and fuzzy logic. Petri net allows user to specify his request as a workflow. SHOP2 is used as an Artificial Intelligence (AI) planning system to get a plan for the user request. However, SHOP2 fails to ca...

Web 2.0 is based on personalized access to imprecise and incomplete information from heterogeneous sources. In this paper we present a web-based system enabling preference-based search. We use modified Fagin’s model of fuzzy preferences based on aggregation of attribute preferences. Aggregation is generated by user ranking of objects. Our contributions are twofold. First we present a formal mod...

Based on fuzzy set theory, flexible querying enables users to express preferences inside requirements. Quantifications and preferences on data have led us to define the notion of fuzzy integers ( f). This framework has been extended (to f and f ) in order to dealing with queries based on difference or division operations. In this paper we study how to define fuzzy order relations between such f...

Transaction costs in electronic business may become marginal, since negotiation processes can be assigned to software agents which act autonomously on behalf of their human principals. This advantage makes electronic negotiations highly appealing to actors in various e-business areas, including online auctions and product configuration negotiations. However, software agents can negotiate approp...