In this paper we study strongest paths in a fuzzy graph. A necessary and sufficient condition for an arc in a fuzzy graph to be a strongest path and a sufficient condition for a path in a fuzzy graph to be a strongest path are obtained. A characterization of δ−arcs and the relationship between fuzzy cutnodes and δ−arcs are also obtained. Also a characterization of blocks is obtained using stron...

We present a negative result of fuzzy extractors with computational security. Specifically, we show that, under a certain computational condition, the existence of a computational fuzzy extractor implies the existence of an information-theoretic fuzzy extractor with slightly weaker parameters. The condition is that the generation procedure of the fuzzy extractor is efficiently invertible by an ...

In this paper is shown that the probability-statistic methods application, especially at the early stage of the aviation gas turbine engine (GTE) technical condition diagnosing, when the flight information has property of the fuzzy, limitation and uncertainty is unfounded. Hence is considered the efficiency of application of new technology Soft Computing at these diagnosing stages with the usin...

In this paper, the mathematical properties of the proportional TakagiSugeno (T-S) fuzzy controller are first investigated. Based on these properties, the L2stability of the fuzzy control systems, in which the proportional T-S fuzzy controller is utilized, is analyzed by using the well-known circle criterion. A sufficient condition with elegant graphical explanation in the frequency domain is ne...

In this paper we give sufficient condition for the Buckley-Feuring solution to exist by the variation iteration method are used for find the exact fuzzy solution of the fuzzy wave-like equation in one and two dimensions with variable coefficients and fuzzy parameters. Some examples are given to show the reliability and the efficiency of the sufficient condition..

in this paper, we give some new definitions of m-fuzzy metric spaces and we prove a common fixed point theorem for six mappings under the condition of weakly compatible mappings in complete m-fuzzy metric spaces.