Study On Methods For Fuzzy Multiple Attribute Decision Making Under Some Situations

Multiple attribute decision making (MADM) is an important branch of modern decision sciences. Its theory and method are widely applied to many areas, such as economics, management, engineering, military affairs, and so forth. In the fundamental research, the MADM have been always the research topics which the academic circles pay attention since its birth. However, in many situations, the input arguments take the form of fuzzy information such as interval numbers, triangular fuzzy number, linguistic variables, uncertain linguistic variables or intuitionistic fuzzy information because of complexity and uncertainty of object, lack of knowledge and people's limited expertise related with problem domain. The MADM problems are often qualitative problems, and their fuzziness is more remarkable. So, the fuzzy MADM problems arouse the academic circles enormous interest. Therefore, the research on fuzzy MADM has important theoretic significance and higher practical application. Thus, the purpose of this paper is to do a deep research on the fuzzy MADM problems under some situations. The detailed arrangement of this paper stands out as follows:1. Study on the MADM problems with interval data. (1) a modified grey relational analysis (GRA) method is proposed to solve the interval MADM problems with incomplete weight information; (2) a modified grey relational analysis (GRA) method is proposed to solve the interval MADM problems with preference information on alternatives; (3) Based on the C-OWHA operator, the continuous three parameters interval argument OWHA (CP-OWHA) operator are proposed and a method based on the WHCP-OWHA and CCP-OWHA operators is developed to solve three parameters interval MAGDM problems.2. Study on the MADM problems with triangular fuzzy number. (1) A fuzzy ordered weighted harmonic averaging (FOWHA) operator is proposed and a new decision making method based on the FOWHA operator is proposed; (2) fuzzy weighted harmonic averaging (FWHA) operator and fuzzy induced ordered weighted harmonic averaging (FIOWHA) operator are proposed to solve fuzzy MAGDM.3. Study on the MADM problems with 2-tuple linguistic information. (1) a modified grey relational analysis (GRA) method is proposed to solve the 2-tuple linguistic MAGDM problems; (2) the 2-tuple linguistic weighted harmonic averaging (T-WHA),2-tuple linguistic ordered weighted harmonic averaging (T-OWHA) and 2-tuple linguistic combined weighted harmonic averaging (T-CWHA) operator are proposed and properties of the operators are analyzed. Then, a method based on the T-WHA and T-CWHA operators for MAGDM is presented. (3) the extended 2-tuple linguistic weighted geometric (ET-WG) and the extended 2-tuple linguistic ordered weighted geometric (ET-OWG) operator are proposed to solve MAGDM with 2-tuple linguistic information; (4) the extended 2-tuple linguistic weighted harmonic averaging (ET-WHA) and the extended 2-tuple linguistic ordered weighted harmonic averaging (ET-OWHA) operator are proposed to solve MAGDM with 2-tuple linguistic information.4. Study on the MADM problems with uncertain linguistic information. (1) An uncertain linguistic hybrid geometric mean (ULHGM) operator is proposed. An approach to MAGDM with uncertain linguistic information is developed based on the ULWGM and the ULHGM operators. (2) A combined method is used to solve uncertain linguistic MADM problems with completely unknown weight information; (3) a combined method is used to solve uncertain linguistic MADM problems with preference information on alternatives.5. Study on the MADM problems with intuitionistic fuzzy information. (1) two optimization models based on the maximizing deviation method are develop to solve MADM problems with intuitionistic fuzzy information; (2) two optimization models based on the maximizing deviation method are extended to the interval-valued intuitionistic fuzzy setting; (3) the dynamic intuitionistic fuzzy weighted geometric (DIFWG) operator and uncertain dynamic intuitionistic fuzzy weighted geometric (UDIFWG) operator are proposed to solve dynamic intuitionistic fuzzy MADM problems.