This paper describes a method for formal compression of fuzzy systems. This method compresses a fuzzy system with an arbitrarily large number of rules into a smaller fuzzy system by removing the redundancy in the fuzzy rule base. As a result of this compression, the number of on-line operations during the fuzzy inference process is significantly reduced without compromising the solution. This r...

The notion of generalized locally bounded $I$-topological vectorspaces is introduced. Some of their important properties arestudied. The relationship between this kind of spaces and thelocally bounded $I$-topological vector spaces introduced by Wu andFang [Boundedness and locally bounded fuzzy topological vectorspaces, Fuzzy Math. 5 (4) (1985) 87$-$94] is discussed. Moreover, wealso use the fam...

We present a solution procedure for a quadratic programming problem with some probabilistic constraints where the model parameters are either triangular fuzzy number or trapezoidal fuzzy number. Randomness and fuzziness are present in some real-life situations, so it makes perfect sense to address decision making problem by using some specified random variables and fuzzy numbers. In the present...

The priority problem of incomplete preference relations is investigated. Using the transformation relation between multiplicative preference relation and fuzzy preference relation, we develop a least-square model to obtain the collective priority vector of the incomplete preference relations presented by multiple decision makers, with the existence condition of the solution being developed. Mea...

In this paper, Lyapunov Theory is combining with fuzzy merging algorithm to solve the non-linear solutions. The non-linear points are found using fuzzy c-means merging by reciprocating the distance. The Gaussian weights are used in combining the fuzzy merging with Lyapunov Theory. A vector equals the centers of two points; the weights are concentrated mostly on widely distributed region than th...

Abstract. Coloring of fuzzy graphs plays a vital role in theory and practical applications. The concept of chromatic number of fuzzy graphs was introduced by Munoz[6] et.al. Later Eslahchi and Onagh [7]defined fuzzy coloring of fuzzy graphs and defined fuzzy chromatic number χ (G). Incorporating the features of these two definitions, the definition of chromatic number of a fuzzy graph χ(G), is ...

The paper is continuing a work for a velocity controller synthesis by neuro-fuzzy techniques in a vector control with an asynchronous motor structure. The input – output data prepared in the previous paper are applied to a program in order to train a neural network able to generate a file for the speed fuzzy controller. The fuzzy solution is analyzed comparatively with the standard structure th...

In this paper we focus on the problem of mammographic interpretation and in the construction of a computerized system to assess physicians in this task. We propose a solution based on fuzzy systems, and apply our fuzzy modeling methodology—Fuzzy CoCo—to find systems exhibiting both good performance and high interpretability. The results presented show the capacity of Fuzzy CoCo to find systems ...

In the real situations, decision makers are often faced to a plurality of objectives and constraints in a world of imprecise data about the preferences of agents, the local constraints and the global environment. In a fuzzy environment, fuzzy linear programming (FLP) and fuzzy goal programming (FGP) problems incorporate fuzzy objective functions and constraints, fuzzy parameters and variable se...

A new method for finding fuzzy optimal solution, the maximum total completion fuzzy time and fuzzy critical path for the given fully fuzzy critical path (FFCP) problems using crisp linear programming (LP) problem is proposed. In this proposed method, all the parameters are represented by triangular fuzzy number. The fuzzy optimal solution of the FFCP problems obtained by the proposed method, do...