With the staggering amount of gene and protein sequence information that is now available it is evident that the dynamics of biological regulatory mechanisms cannot be understood by merely identifying components, cataloguing products and ensembles. The aim of this paper is to outline a formal mathematical framework which maps sample sequence and derived secondary data onto existing model genome...

We consider the fuzzification of the notion of an n-fold implicative ideal, an n-fold (weak) commutative ideal. We give characterizations of an n-fold fuzzy implicative ideal. We establish an extension property for n-fold fuzzy commutative ideals. 2000 Mathematics Subject Classification. 06F35, 03G25, 03E72.

In this paper, we suggest and analyze a new two-step iterative method for solving nonlinear fuzzy equations using the Trapezoidal quadrature rule. We prove that this method has quadratic convergence. The fuzzy quantities are presented in parametric form. Sever examples are given to illustrate the efficiency of the proposed method. Mathematics Subject Classification: 03E72; 37C25

In hypotheses testing, such as other statistical problems, we may confront imprecise concepts. One case is a situation in which hypotheses are imprecise. In this paper, we redefine some concepts about fuzzy hypotheses testing, and then we introduce the sequential probability ratio test for fuzzy hypotheses testing. Finally, we give some examples. Mathematics Subject Classification: 03E72, 62F03...

The main result is to show that the space of nonmonotonic fuzzy measures on a measurable space (X,X) with total variation norm is separable if and only if the -algebra X is a finite set. Our result is related to fuzzy analysis, functional spaces and discrete mathematics. © 2007 Elsevier B.V. All rights reserved.

In this work, we introduce definitions of smooth strong compactness and smooth P-closedness for arbitrary L-fuzzy sets in smooth Lfuzzy topological spaces and study some of their properties. We also investigate relations between these concepts and the other definitions of compactness in smooth L-fuzzy spaces. Mathematics Subject Clasification: 54A40

In this paper, we define a mathematical model for T -independent and identically distributed random fuzzy variables and consider the existence of the process. We also investigate law of large numbers for random fuzzy variables. For special cases, we consider the case for T = min and T =Archimedean t-norm. Mathematics Subject Classification: 60A86

In this paper, we introduce (CLRg) property for a hybrid pair of maps in fuzzy metric spaces and utilize the same to prove two unique common coupled fixed point theorems for two hybrid pairs of maps satisfying ψ+φ contractive condition in fuzzy metric spaces. AMS Mathematics Subject Classification (2010): 54H25, 47H10.

The aim of this paper is to introduce and study a new concept of the fuzzy I− convergent χ space defined by modulus and also some topological properties of the resulting sequence spaces of fuzzy numbers were examined. 2078 N. Kavitha, N. Saivaraju and N. Subramanian Mathematics Subject Classification: 40A05, 40C05, 40D05

In this paper we study some aspects of the topological structure of the weak fuzzy normed spaces and its relation with the topological vector spaces. We give characterizations of those topological vector spaces that are metrizable, locally bounded and normable in terms of weak fuzzy norms. Mathematics Subject Classification (2010): 54A40, 46S40, 54E35, 46A03, 46A16.