Fuzzy C-mean (FCM) is the most well-known and widely-used fuzzy clustering algorithm. However, one of the weaknesses of the FCM is the way it assigns membership degrees to data which is based on the distance to the cluster centers. Unfortunately, the membership degrees are determined without considering the shape and density of the clusters. In this paper, we propose an algorithm which takes th...

This paper presents a systematic approach to designing dynamic metaheuristic fuzzy logic controller (FLC) control piece of non-linear plant. The developed is multiple-input–multiple-output (MIMO) system. However, with the proposed mechanism possible adapt it single-input–single-output (SISO) systems as well. During real-time operation, behavior influenced by particle swarm optimization (PSO) me...

The present paper is devoted to the transition from crisp domains of probability to fuzzy domains of probability. First, we start with a simple transportation problem and present its solution. The solution has a probabilistic interpretation and it illustrates the transition from classical random variables to fuzzy random variables in the sense of Gudder and Bugajski. Second, we analyse the proc...

Osteoporosis is a disease in which bones become fragile and more likely to break. can progress painlessly until it causes bone fracture or Dual Energy X-ray Absorptiometry (DEXA) costly not accessible easily so we are using Fuzzy Inference system predict osteoporosis. In this fuzzy logic, collect risk factors rules for osteoporosis build interface take inputs predicts if person has the followin...

In this paper we present a different framework for the study of fuzzy finite machines and their fuzzy languages. Unlike the previous work on fuzzy languages, characterized by fuzzification at the level of their acceptors/generators, here we follow a top-down approach by starting our fuzzification with more abstract entities: monoids and particular families in monoids. Moreover, we replace the u...

The quality of Arabic-English statistical machine translation often suffers as a result of standard phrase-based SMT systems’ inability to perform long-range re-orderings, specifically those needed to translate VSO-ordered Arabic sentences. This problem is further exacerbated by the low performance of Arabic parsers on subject and subject span detection. In this paper, we present two parse “fuz...

A family of fuzzification schemes is proposed that can be used to transform cardinality-based similarity measures for ordinary sets into similarity measures for fuzzy sets in a finite universe. These schemes are based on the Frank t-norm family and preserve transitivity in the fuzzification process.

This paper presents an approach to the fuzzification of complete lattices. This kind of fuzzification is a functor from the category of complete lattices to the category of completeL-ordered sets. It not only can be considered as an algebraic representation of the Lowen functor ωL, but also can characterize the stratification of L-topological spaces and the underlying set of Hutton unit interval.

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...