This paper proposes a fuzzy discriminant analysis to solve the two-group classification problem where the measured variables are linguistic in nature. Especially under imprecise framework, the linguistic variables capture more information although vagueness is inherent. In analogy to classical statistics, a fuzzy linear discriminant function is introduced here, which directly deals with continu...

The mean and the variance value of a random variable play an important role in statistical analysis. Sometimes the available observations are not precise, and we want to test the hypotheses of mean and variance in such environment. Hence, in this paper, we first extend and introduced L2−metric based on imprecise (fuzzy) observations, and then, the concepts of fuzzy test statistics are defined b...

This paper presents a quantitative analysis of evolvability with evolutionary activity statistics in an evolutionary fuzzy system. In general, one can estimate the performance of an evolved fuzzy controller by its fitness. However, it is difficult to explain how its fitness or adaptability has been obtained. Evolutionary activity is used to measure the evolvability of fuzzy rules and explain wh...

*Correspondence: [email protected] 1School of Mathematics and Statistics, Tianshui Normal University, Tianshui, 741001, P.R. China 2School of Mathematics, Beijing Institute of Technology, Beijing, 100081, P.R. China Full list of author information is available at the end of the article Abstract In the present paper, an extension of the Edelstein contraction theorem for cyclic contrac...

Exploring the growing interest in extending the theory of probability and statistics to allow for more flexible modeling of uncertainty, ignorance, and fuzziness, the properties of fuzzy modeling are investigated for statistical signals, which benefit from the properties of fuzzy modeling. There is relatively research in the area, making explicit identification of statistical/stochastic fuzzy m...

The search for groups of important sectors in an economy has been and still is one of the more recurrent themes in input-output analysis. But a sector can probably be important for some questions at the same time, to a different degree. In this direction, a multidimensional fuzzy clustering analysis gives as a result a classification of sectors illustrating the different roles that each one pla...

Abstract In conventional sampling plans, the rate of fraction faulty items is supposed and fixed, but in some practical situations, this value not fixed fuzzy. To attain real flexible value, we used transmuted Weibull distribution a fuzzy environment. Fuzzy based on set theory. According to our investigation, acceptance The improvement research evaluate vague portion malfunctioning ( $$\tilde{p...

*Correspondence: [email protected]; [email protected]; [email protected] 1Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bang Mod, Thung Khru, Bangkok, 10140, Thailand 2Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathumthani, 1...

Data mining is new but an interdisciplinary field utilizing statistics, machine learning, and other methods. In recent years, fuzzy logic has also been applied to augment data mining. The application of fuzzy logics makes the mining results more understandable and interpretable, apart from being useful and informative. Fuzzy rules are useful to summarize large databases. Several studies are don...