Abstract

In this paper, based on the structure of fuzzy information and the mechanism of fuzzy optimization, we propose the concept of quasi-linear fuzzy number; by distinguishing principal index and secondary indices, we give the comparison method based on synthesizing effect combining with the compound qualification strategy of fuzzy information; starting from the essence of constraints, we give a fuzzy optimization model based on synthesizing effect and inequity degree (BID & SE-FOM), and propose an instructive fuzzy genetic algorithm based on principal operation and quasi-linear fuzzy numbers(PO QL-FGA); Finally, we analyze the performance of PO QL-FGA by using Markov chain theory, and further explain the application of quasi-linear fuzzy numbers by a concrete example.

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