A new kind of mapping rule base scheme is proposed to get the fuzzy rules of hierarchical fuzzy systems. The algorithm of this scheme is developed such that one can easily design the involved fuzzy rules in the middle layers of the hierarchical structure. In contrast with the conventional single layer fuzzy controller, the present method has approximate performance using the same scaling factor...

In the current time, especially in the computer world, the security of data becomes an important issue. This paper presents a novel fast method for encrypting and decrypting images, based on fuzzy graph (FG) mapping technique. The Fuzzy graphs are obtained from a matrix of image’s pixels, and then they are used to encrypt an image. The experimental results show that this method is more efficien...

*Corresponding address: [email protected] Received 14 September, 2010; Revised 29 April, 2011 ABSTRACT Ever since the introduction of fuzzy sets by Zadeh [1] , the fuzzyness invaded almost all the branches of crisp mathematics. Deng [3] kaleva and Seikalla [2] and Kramosil and Michalek [5]Have introduced the concept of fuzzy metric space, George and Veeramani [4] modified the concept of...

A concept of fuzzy-mathematical programming problem is introduced in this paper. It is a problem of optimizing an objective function subject to a constraint set which is a fuzzy set. Solution of a FMP problem is defined as a fuzzy set by means of the "Extension principle" applied to a set-to-set mapping. Our philosophy is applied to the linear programming problem, where the set of all feasible ...

Neural networks and fuzzy expert systems perform the same task of functional mapping using entirely different approaches. Each approach has certain unique features. The ability to learn specific input-output mappings from large input/output data possibly corrupted by noise and the ability to adapt or continue learning are some important features of neural networks. Fuzzy expert systems are know...

Neurofuzzy systems—the combination of artificial neural networks with fuzzy logic—have become useful in many application domains. However, conventional neurofuzzy models usually need enhanced representational power for applications that require context and state (e.g., speech, time series prediction, control). Some of these applications can be readily modeled as finite state automata. Previousl...

In support of research efforts to develop reactive mobile robots capable of autonomous navigation, we are concentrating on providing human reasoning capabilities as a resource for intelligence and integrating the world mapping and navigation tasks. The underlying philosophy is that an autonomous mobile robot should be able to make a map of its environment as it navigates through that environmen...

In this paper, we introduce the concept of fuzzy congruences on n-ary semigroups and describe quotient n-ary semigroups by fuzzy congruences. Some isomorphism theorems about n-ary semigroups are established. Moreover, we discuss a special kind of n-ary semigroups. We also establish relationships between normal fuzzy ideals and fuzzy congruences. In particular, we prove that there exists a prese...

In this paper we introduce a procedure, based on the max-min clustering method, that identifies a fixed order of training pattern presentation for fuzzy adaptive resonance theory mapping (ARTMAP). This procedure is referred to as the ordering algorithm, and the combination of this procedure with fuzzy ARTMAP is referred to as ordered fuzzy ARTMAP. Experimental results demonstrate that ordered f...

According to mathematical properties of continuous function, the universal approximation properties of fuzzy mapping in only one interval are analyzed, and some related theorems are proposed and proved. Then, the sufficient conditions of the general T-S fuzzy systems with universal approximation are derived from these theorems, which helps establish the new relationship between approximation er...