Bifuzzy Discrete Event Systems and Their Supervisory Control Theory

Deng, Weilin; Qiu, Daowen

doi:10.1109/tfuzz.2015.2403866

Cited by 28 publications

(1 citation statement)

References 29 publications

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“…Both Chakraborty et al [10] and Bera et al [11] investigated the multi-product production-inventory models with bifuzzy parameters. Deng and Qiu [12,13] proposed the bifuzzy discrete event systems and established the supervisory control theories on this type of system under different observation levels successively. Taib et al [14] formulated a group decision-making model on the basis of conflicting bifuzzy sets and applied it in flood control projects.…”

Section: Introductionmentioning

confidence: 99%

The Scalar Mean Chance and Expected Value of Regular Bifuzzy Variables

2021

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As a natural extension of the fuzzy variable, a bifuzzy variable is defined as a mapping from a credibility space to the collection of fuzzy variables, which is an appropriate tool to model the two-fold fuzzy phenomena. In order to enrich its theoretical foundation, this paper explores some important measures for regular bifuzzy variables, the most commonly used type of bifuzzy variables. Firstly, we introduce the regular bifuzzy variables’ mean chance measure and some properties, including self-duality and its calculation formulas. Furthermore, we also investigate the mean chance distribution for strictly monotone functions of regular bifuzzy variables based on the proposed operational law. Finally, we present the expected value operator as well as equivalent analytical formulas of the expected value of regular bifuzzy variables and their strictly monotone functions.

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