Lyapunov stability of fuzzy dynamical systems based on fuzzy-number-valued function granular differentiability

Yang, Hong; Chen, Yu

doi:10.1016/j.cnsns.2024.107984

Cited by 2 publications

(1 citation statement)

References 30 publications

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“…Fuzziness refers to the uncertainty in the division between objective things, and it is the inseparability of the connotation and extension of concepts [35][36][37]. The FAHP is a method that considers multiple factors simultaneously in a fuzzy environment and ultimately makes a comprehensive evaluation of things [38][39][40].…”

Section: Determination Of Indicators' Weight 221 Fahp Subjective Weig...mentioning

confidence: 99%

Benefit Evaluation of Carbon Reduction in Power Transmission and Transformation Projects Based on the Modified TOPSIS-RSR Method

Wang,

Chen,

Zhao

et al. 2024

Energies

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In order to fully achieve energy saving goals, it is necessary to establish a comprehensive evaluation system for carbon reduction in transmission and transformation projects. Subsequently, weights were assigned to these indicators using a combination of the fuzzy analytical hierarchy process (FAHP) and the entropy weight method (EWM) through both subjective and objective methods. Finally, the ultimate weights were obtained by applying the principle of minimum information. During the construction of the evaluation model, the rank–sum ratio (RSR) method was introduced into the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) for approximating ideal solution ranking. And the Euclidean distance in TOPSIS was replaced with standardized Euclidean distance, effectively avoiding evaluation discrepancies caused by different dimensions. The modified TOPSIS-RSR method was utilized to evaluate and rank power transmission and transformation projects in four regions. By comparing the test values of the two models, the superiority of the enhanced model was confirmed. Furthermore, the GM (1,1) model is used to predict the electricity sales volume of the optimal ranking area. This evaluation model can also be applied to the benefit evaluation of carbon reduction benefits in power transmission and transformation projects in other regions.

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Section: Determination Of Indicators' Weight 221 Fahp Subjective Weig...mentioning

confidence: 99%

Benefit Evaluation of Carbon Reduction in Power Transmission and Transformation Projects Based on the Modified TOPSIS-RSR Method

Wang,

Chen,

Zhao

et al. 2024

Energies

View full text Add to dashboard Cite

show abstract

Optimality and duality for nonconvex fuzzy optimization using granular differentiability method

Shi,

Ye,

Liu

et al. 2024

Information Sciences

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Lyapunov stability of fuzzy dynamical systems based on fuzzy-number-valued function granular differentiability

Cited by 2 publications

References 30 publications

Benefit Evaluation of Carbon Reduction in Power Transmission and Transformation Projects Based on the Modified TOPSIS-RSR Method

Benefit Evaluation of Carbon Reduction in Power Transmission and Transformation Projects Based on the Modified TOPSIS-RSR Method

Optimality and duality for nonconvex fuzzy optimization using granular differentiability method

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