In the sequel M is a Petri net. Let us consider X , Y . Let us assume that X misses Y . The functor PTempty f (X ,Y ) yielding a strict Petri net is defined by: (Def. 4)2 PTempty f (X ,Y ) = 〈X ,Y, / 0〉. Let us consider X . The functor Tempty f (X) yields a strict Petri net and is defined by: (Def. 5) Tempty f (X) = PTempty f (X , / 0). The functor Pempty f (X) yields a strict Petri net and is ...

fuzzy relation inequalities based on max-f composition are discussed, where f is a binary aggregation on [0,1]. for a fixed fuzzy relation inequalities system $ a circ^{f}textbf{x}leqtextbf{b}$, we characterize all matrices $ a^{'} $ for which the solution set of the system $ a^{' } circ^{f}textbf{x}leqtextbf{b}$ is the same as the original solution set. similarly, for a fixed matrix ...

in this paper, we study the existence of extremal solutions forimpulsive delay fuzzy integrodifferential equations in$n$-dimensional fuzzy vector space, by using monotone method. weshow that obtained result is an extension of the result ofrodr'{i}guez-l'{o}pez cite{rod2} to impulsive delay fuzzyintegrodifferential equations in $n$-dimensional fuzzy vector space.

A‎s we know, developing mathematical models and numerical procedures that would appropriately treat and solve systems of linear equations where some of the system's parameters are proposed as fuzzy numbers is very important in fuzzy set theory. For this reason, many researchers have used various numerical methods to solve fuzzy linear systems. In this paper, we define the concepts of midpoint a...

in this paper, we propose the least-squares method for computing the positive solution of a m  n fully fuzzy linear system (ffls) of equations, where m > n, based on kaman's arithmetic operations on fuzzy numbers that introduced in [18]. first, we consider all elements of coecient matrix are non-negative or non-positive. also, we obtain 1-cut of the fuzzy number vector solution of the n...

PURPOSE The aims of this research were to determine the epidemiological profile of dental caries in 3- and 4-year-old preschool children living in Bogotá, Colombia, and to compare two different caries indices--the standard def and Nyvad's new caries diagnostic criteria. METHODS The children were screened by two calibrated examiners who first brushed the children's teeth and air dried them for...

Let G be a simple graph having a maximum matching M. The deficiency def(G) of G is the number of M-unsaturated vertices in G. A problem that arises is that of determining the set of possible values of def(G). In this paper we present a solution for the case of r-regular k-edge-connected graphs. 1. INTRODUCTION In this paper the graphs are finite, loopless and have no multiple edges. For the mos...

The Src homology 3 (SH3) motif is found in numerous signal transduction proteins involved in cellular growth and differentiation. We have purified and cloned a novel protein, DEF-1 (differentiation-enhancing factor), from bovine brain by using a Src SH3 affinity column. Ectopic expression of DEF-1 in fibroblasts resulted in the differentiation of a significant fraction of the culture into adipo...

In Antirrhinum majus, petal and stamen organ identity is controlled by two MADS-box transcription factors, DEFICIENS and GLOBOSA. Mutations in either of these genes result in the replacement of petals by sepaloid organs and stamens by carpelloid organs. Somatically stable def and glo periclinal chimeras, generated by transposon excision events, were used to study the non-cell-autonomous functio...

In this work, we propose an approach for computing the compromised solution of an LR fuzzy linear system by using of a ranking function when the coefficient matrix is a crisp mn matrix. To do this, we use expected interval to find an LR fuzzy vector, X , such that the vector (AX ) has the least distance from (b) in 1 norm and the 1 cut of X satisfies the crisp linear system AX = b ...