In this paper, we introduce the notion of probabilistic valued measures as a generalization of non-negative measures and construct the corresponding Lp spaces, for distributions p > "0. It is alsoshown that if the distribution p satises p "1 then, as in the classical case, these spaces are completeprobabilistic normed spaces.

Vector-valued fuzzy cellular automata (VFCA) are dynamical systems that the continuous counterparts of (CA). As such, continuous-valued traffic-flow models can be defined as VFCA conserve number particles. In this study, a VFCA-based traffic model with obstacles on road is presented. The proposed exhibits asymptotic behavior, in fundamental diagram, similar to totally asymmetric simple-exclusio...

Potato image segmentation is an important part of image-based potato defect detection. This paper presents a robust potato color image segmentation through a combination of a fuzzy rule based system, an image thresholding based on Genetic Algorithm (GA) optimization and morphological operators. The proposed potato color image segmentation is robust against variation of background, distance and ...

In this paper we study the relationships existing between total measurability in variation and Gould type fuzzy integrability (introduced and studied in [21]), giving a special interest on their behaviour on atoms and on finite unions of disjoint atoms. We also establish that any continuous real valued function defined on a compact metric space is totally measurable in the variation of a regula...

The number of research papers interested in studying the social dimension supply chain sustainability and resilience is increasing literature. However, complex, with several uncertainty variables that cannot be expressed a traditional Boolean logic totally true or false. To cope uncertainty, Fuzzy Logic allows development models to obtain crisp values from concept fuzzy linguistic variables. Us...

We derive an explicit expression for an associative ∗-product on the fuzzy complex projective space, CPN−1 F . This generalises previous results for the fuzzy 2-sphere and gives a discrete non-commutative algebra of functions on CPN−1 F , represented by matrix multiplication. The matrices are restricted to ones whose dimension is that of the totally symmetric representations of SU(N). In the li...

MANETs are accessible to various attacks [1]. Black hole attack is one kind of routing disturbing attacks [13] and can destroy a MANET partially or totally. In this paper Fuzzy Logic techniques have been used to detect black hole attacks and find out secure routing in wireless ad hoc networks. The proposed heuristic successfully detects the black hole in the network and this information is pass...

Fuzzy rule systems are an important element in the arsenal of automated control, as they are able to process the input provided by sensors and provide their output in very small times. Lately, there has been augmented interest in utilizing fuzzy rule systems in a wider range of applications, due to the intuitive way in which they represent and utilize knowledge. In these contexts, input is not ...