Assessment of reliability analysis of paper plant with fuzzy logic technique has carried out in this paper. Fuzzy Weibull distribution and lifetime of a component is also determined. The paper plant is a complex system under consideration which consists of various subsystems such as chipping, feeding, pulp preparation, washing, screening, bleaching and paper production etc. The mathematical mod...

Fuzzy relations are mappings from pairs of elements into the interval [0, 1]. As a replacement for the complement operation one can use the mapping that sends x to 1 − x. Together with the concepts of t-norm and t-conorm a weak form of Boolean algebra can be defined. However, to our knowledge so far no notion of domain or codomain has been investigated for fuzzy relations. These might, however,...

Following the publication of the classical work by Birkhoff and von Neumann [1], the correspondence between the logic of quantum mechanics and non-Boolean logics has attracted significant theoretical and practical interest [2]. During the last decades, such an interest was enhanced with the development of quantum information and computation theory [3] and several approaches for the implementati...

A categorical approach to probability allows to put basic notions of probability into a broader mathematical perspective, to evaluate their roles, and mutual relationships. Classical probability theory and fuzzy probability theory lead to two particular categories and their relationship (in categorical terms) enable us to understand and explicitly formulate the difference between them. Using ou...

Recent advances in wearable technology and “fuzzy” archetypes are usually at odds with journaling file systems. In our research, we demonstrate the extensive unification of access points and Boolean logic. This result at first glance seems unexpected but often conflicts with the need to provide erasure coding to statisticians. We describe an application for interposable epistemologies, which we...

A fuzzy option prioritization technique is developed to efficiently model uncertain preferences of DMs in strategic conflicts as fuzzy preferences by using the decision makers’ (DMs’) fuzzy truth values of preference statements at feasible states within the framework of the Graph Model for Conflict Resolution. The preference statements of a DM express desirable combinations of options or course...

The approaches to the solution of various problems of artificial intelligence methods are proposed. In particular, the problem of knowledge representation by means of fuzzy specifications in expert systems, the problem of recognizing the structures of the proteins of different organization levels and the problem of building linguistic models in fuzzy Boolean variables logic are considered. All ...

Relevant contributions of fuzzy logic to the logical models in information retrieval is studied. It makes it possible to grasp the graduality of some relevant concepts and to model both imprecision and uncertainty inherent to the retrieval process, still in the framework of the broadly meant logical approach. In this perspective we discuss various extensions to the basic Boolean model which are...

The paper considers an early approach toward a (fuzzy) set theory with a graded membership predicate and a graded equality relation which had been developed by the German mathematician D. Klaua in 1965. In the context of the mathematical fuzzy logic MTL of left-continuous t-norms we discuss some properties of these graded relations. We compare the simultaneous recursive definitions of these rel...