Fuzzy Topological Spaces

Mordeson, John N.; Nair, Premchand S.

doi:10.1007/978-3-7908-1808-6_3

Cited by 2 publications

(2 citation statements)

References 84 publications

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“…(𝑅, 𝜇) is fully stratified fuzzy topology on 𝑅 if the fuzzy topology 𝜇 on 𝑅 contain all constant fuzzy set Theorem 1.8 [5] Let (𝑅, 𝜇) and (𝑅, 𝜌) be two fuzzy topological spaces and let 𝜇(𝜌) = {𝐸 ∈ 𝐼 𝑅 : ∃ 𝑈 ∈ 𝜌 𝑠. 𝑡 𝑐𝑙 𝜇 (𝑈) ≤ 𝐸}. Then 𝜇(𝜌) is a mixed fuzzy topology on 𝑅…”

Section: Definition 17[7]mentioning

confidence: 99%

On Mixed Fuzzy Topological Ring

Melgat,

AL-Khafaji

2020

J. Al-Qadisiyah Comp. Sci. Math.

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The theory of fuzzy topological ring has wide scope of applicability than order topological ring theory. The reason is fuzzy can provide better result. Therefore, fuzzy topological ring has been found in Robotics, computer, artificial intelligent, etc. In this paper, we induce mixed fuzzy topological ring space and fuzzy neighborhoods system of mixed fuzzy topological ring space. Also, we study fuzzy continuity of mixed fuzzy topological ring.

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Section: Definition 17[7]mentioning

confidence: 99%

On Mixed Fuzzy Topological Ring

Melgat,

AL-Khafaji

2020

J. Al-Qadisiyah Comp. Sci. Math.

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“…At present, Monte Carlo simulation is the main quantitative evaluation theory for multi-factor, multi-level, randomness, complexity and uncertainty (MCS) [24] 、Bayesian Network(BN)、Artificial Neural Networks (ANN) [25] 、Analytic Hierarchy Process (AHP) [26]、Fuzzy Mathematics (FM) [27] and so on. AHP is suitable for the system of hierarchical interleaving and difficult to describe the target value quantitatively.…”

Section: Introductionmentioning

confidence: 99%

Quality evaluation of effective abrasive micro-edge honing based on Tra-FAH and SPA

Yu,

Liang,

Liu

et al. 2023

Preprint

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CNC powerful gear honing can comprehensively improve the tooth surface performance and is widely used in the finishing process of high-performance gears in the transmission system of new energy vehicles. Accurate evaluation of gear honing processing quality has important engineering application value for popularizing the process of "honing instead of grinding". In this paper, 12 factors, such as abrasive particle size, are determined qualitatively by analyzing the factors affecting gear honing accuracy, tooth surface quality and machining efficiency. Based on trapezoidal fuzzy analytic hierarchy process (Tra-FAH) and set pair analysis method (SPA), a quantitative evaluation model of CBN abrasive micro edge honing quality is established. Through the influence factor weight and key factor sensitivity analysis, it is quantitatively determined that the honing process parameters and abrasive particle size, abrasive particle shedding, abrasive particle breakage and other factors are the key factors affecting the honing quality. Taking the particle size factor as an example, the machining experiment and analysis show that the model can correctly evaluate the honing quality of high quality hardened gears and can be used to study the mechanism of honing characteristics and improve the comprehensive quality of powerful gear honing.

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Fuzzy Topological Spaces

Cited by 2 publications

References 84 publications

On Mixed Fuzzy Topological Ring

On Mixed Fuzzy Topological Ring

Quality evaluation of effective abrasive micro-edge honing based on Tra-FAH and SPA

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