Title :
Grey set conversion and its decision method of intuitionistic fuzzy sets
Author :
Li Qingsheng ; Fan Chenyu ; Zhao Ni ; Liu Sifeng
Author_Institution :
Sch. of Bus., Linyi Univ., Linyi, China
Abstract :
To research the internal relations of fuzzy sets and gray sets, and to expand the application range of grey decisions, this paper proposes a conversion method for grey sets of intuitionistic fuzzy sets, and studies the decision-making method based on grey relation and grey possibility degree. Integrate membership grade, non-membership grade and hesitating degree into grey membership grade decision matrix. On this base, we conform the index weight by using interval grey relation method. We change the grey membership grade decision matrix into a solution interval grey number by using index weight. We sort the solution by using the grey possibility degree. An example is given to illustrate the feasibility and effectiveness of this method.
Keywords :
decision making; fuzzy set theory; grey systems; matrix algebra; possibility theory; decision making method; grey decisions; grey membership grade decision matrix; grey possibility degree; grey set conversion; index weight; interval grey relation method; intuitionistic fuzzy sets; nonmembership grade; Decision making; Educational institutions; Fuzzy sets; Indexes; Matrix converters; Uncertainty; Grey Possibility Degree; Grey Sets; Interval Grey Relation; Intuitionistic Fuzzy Sets;
Conference_Titel :
Grey Systems and Intelligent Services, 2013 IEEE International Conference on
Conference_Location :
Macao
Print_ISBN :
978-1-4673-5247-5
DOI :
10.1109/GSIS.2013.6714812