In this paper, the Urysohn, completely Hausdorff and completely regular axioms in $L$-topological spaces are generalized to $L$-fuzzy topological spaces. Each $L$-fuzzy topological space can be regarded to be Urysohn, completely Hausdorff and completely regular tosome degree. Some properties of them are investigated. The relations among them and $T_2$ in $L$-fuzzy topological spaces are discussed.

in this work the performance of a wavelength division multiple access (wdma) system with direct detection receiver is investigated. for this purpose, the probability of error in a wdma network with ook modulation considering crosstalk, isi, photo detector noise and thermal noise is calculated and the effect of each on system performance is investigated. the system performance in presence of pin...

In 1957, Chang reported the presence of a substance in the seminal plasma of several mammalian species which had the ability to reverse the capacitation process (decapacitation factor or DF). Bedford & Chang (1962) were partially able to purify DF by ultra-centrifugation. Since that time, a great deal of effort has been given to the purification, isolation and identification of this substance (...

the knowledge of bygone times of a nation and the discovery of the way through which their thought and culture and civilization developed throughout ages, are of great important for the next generations of that nation and their success in future ways of development. unquestionably, the literary works contain the greatest part of the cultural and mental products and legacy of a nation and deserv...

In this article we exploit the concept of probability for defining the fuzzy entropy of intuitionistic fuzzy sets ~IFSs!. We then propose two families of entropy measures for IFSs and also construct the axiom definition and properties. Two definitions of entropy for IFSs proposed by Burillo and Bustince in 1996 and Szmidt and Kacprzyk in 2001 are used. The first one allows us to measure the deg...

During the past 40 years of fuzzy research at the Fuzziness and Uncertainty Modeling research unit of Ghent University several axiomatic systems and characterizations have been introduced. In this paper we highlight some of them. The main purpose of this paper consists of an invitation to continue research on these first attempts to axiomatize important concepts and systems in fuzzy set theory....

The concept of fuzzy set was introduced by Zadeh in his classical paper [1]. This concept provides a natural foundation for treating mathematically the fuzzy phenomena, which exist pervasively in our real world, and for building new branches of fuzzy mathematics. In the area of Fuzzy Topology, introduced by Chang [2], much attention has been paid to generalize the basic concepts of General Topo...

Before we venture into Chernoff bound, let us recall Chebyshev's inequality which gives a simple bound on the probability that a random variable deviates from its expected value by a certain amount.