基于改进博弈论组合赋权法和相对熵TOPSIS法的烟叶化学成分协调性评价OA

To address the problems of unreasonable weight allocation,low discrimination in evaluation results,and a lack of validation in assessing tobacco leaf chemical composition harmony,this study proposed an evaluation method based on improved game-theoretic combination weighting and relative entropy TOPSIS.Taking the chemical composition of flue‑cured tobacco leaves from Liangshan,Sichuan Province as the research object,the three‑scale method and range method were first used to reconstruct the judgment matrix,thereby improving the traditional analytic hierarchy process(AHP).A normalization constraint was then introduced to enhance the traditional game-theoretic combination weighting method(GTCW),and the weights derived from the improved AHP and the entropy weight method were combined.Meanwhile,relative entropy replaced the Euclidean distance as the distance measure in the TOPSIS method for evaluating tobacco leaf chemical composition harmony,and the sensory quality indices of tobacco leaves served as a reference to validate the results.The results showed that,compared with the nine‑scale and three‑scale AHP,the improved AHP(IAHP)significantly improved the consistency of the judgment matrix,while its weight allocation results remained close to those of the nine‑scale AHP.The improved game-theoretic combination weighting(IGTCW)balanced and optimized the combined weight coefficients,effectively capturing the data characteristics of the objective weights.Furthermore,compared with the traditional euclidean distance TOPSIS,the relative entropy TOPSIS yielded better dispersion and higher discrimination in the evaluation results,and exhibited a stronger correlation with the sensory quality of tobacco leaves.In conclusion,the improved AHP effectively solved two inherent problems of the traditional AHP:the difficulty in constructing the judgment matrix and the low pass rate of consistency tests.The improved game-theoretic combination weighting method provided more balanced combination coefficients for subjective and objective weights,thus achieving a more effective fusion of the two weights.The relative entropy TOPSIS method was conducive to distinguishing differences in tobacco leaf chemical composition harmony,and its evaluation results were relatively scientific.