A New Approach to Multi-objective Programming based on Satisfied Degree under Fuzzy Environment

Fuzziness is a common uncertainty who exists widespread in decision process and how to process fuzziness is a widespread context in academic and application fields. For the multi-objective programming under fuzzy environment, this paper firstly analyze the essential characteristics of fuzzy objectives. Then fuzzy objectives are divided into three kinds and represent by fuzzy number by introducing deviation parameter a. Then, regarding membership of fuzzy number as the satisfied degree, we establish the multi-objective programming based on satisfied degree (denotes as MP-SD) and a new solving strategy based on MP-SD is further given. Finally, we illustrate the validity of MPSD through a case. The analytical results show that the proposed approach is effective in fuzzy decision environment and provide rich decision theories for integrated multi-objective programming problems in artificial intelligence and resource management and so on.