The goal of this paper is to solve a matrix game with fuzzy payoffs. In this paper, a fuzzy matrix game has been considered and its solution methodology has been proposed. In this paper, fuzzy payoff values are assumed to be trapezoidal fuzzy numbers. Then the corresponding matrix game has been converted into crisp game using defuzzification of fuzzy number. Here, widely known signed distance m...

Each divisible and unital quantale is associated with two quantaloids. Categories enriched over these two quantaloids can be regarded respectively as crisp sets endowed with fuzzy preorders and fuzzy sets endowed with fuzzy preorders. This paper deals with the relationship between these two kinds of enriched categories. This is a special case of the change-base issue in enriched category theory...

We propose a generalized approach to the already existing crisp methods to solve the fuzzy multiattribute decision making problem. Specifically we deal with four methods, namely Simple Additive Weighting, Linear Assignment, TOPSIS and ELECTRE, where fuzzy numbers are used to represent the ratings of the alternatives and relative weights of the attributes. Through the use of fuzzy mathematics we...

Scientific consequences are dependent on premisses that are logical propositions of the phenomena concerned. Propositions are verbal and linguistic statements, and at the initial philosophical thinking stage they all include vaguneness and imprecision. As more scientific evidence becomes available either rationally or empirically proposition validity degree increases at the cost of vagueness. I...

Optimizing jobshop-scheduling problems (JSSPs), in wh ich imprecise processing times are modeled as fuzzy numbers, results in more flexible solution. That is, the produced schedule is flexible; it stays valid and can cope with all possible durations within the specified range. In this paper, we present evidences that support the claim that solving JSSPs with fuzzy processing times would produce...

The goal of this paper is to present a logic model with very good properties for the representation and evaluation of fuzzy association rules. For that we are going to combine two approaches. The first one is a model for the representation and evaluation of crisp association rules. The second one is a new proposal for the representation of imprecise properties (in particular for fuzzy sets) by ...

Classical ontologies are not suitable to represent imprecise nor uncertain pieces of information. Fuzzy Description Logics were born to represent the former type of knowledge, but they require an appropriate fuzzy language to be agreed and an important number of available resources to be adapted. An alternative is to use classical ontologies to represent fuzzy ontologies. To date, all of the wo...

The bi-criteria fixed charge transportation problem is an extension of the classical transportation problem. The bi-criteria fixed charge transportation problem in a crisp environment is, often, not effective in dealing with imprecision or vagueness in the values of the problem parameters. To deal with such situations, it has been proposed that the parameters should be represented as fuzzy numb...

PURPOSE To quantify the impact of diagnostic confidence on radiological diagnosis with a fuzzy logic-based method. MATERIALS AND METHODS Twenty-two oncologic patients with 20 cysts and 30 metastases ≤1 cm in size found at 64-row computed tomography were included. Two readers (R1/R2) expressed diagnoses as a subjective level of confidence P(d) in malignancy within the interval [0,1] rather tha...

The well-known algorithm of Zielonka describes how to transform automatically a sequential automaton into a deterministic asynchronous trace automaton. In this paper, we improve the construction of deterministic asynchronous automata from finite state automaton. Our construction improves the well-known construction in that the size of the asynchronous automaton is simply exponential in both the...