The multiple attribute decision making problems are studied, in which the information about attribute weights is partly known and the attribute values take the form of intuitionistic fuzzy numbers. The operational law...The multiple attribute decision making problems are studied, in which the information about attribute weights is partly known and the attribute values take the form of intuitionistic fuzzy numbers. The operational laws of intuitionistic fuzzy numbers are introduced, and the score function and accuracy function are presented to compare the intuitionistic fuzzy numbers. The intuitionistic fuzzy ordered weighted averaging （IFOWA） operator which is an extension of the well-known ordered weighted averaging （OWA） operator is investigated to aggregate the intuitionistic fuzzy information. In order to determine the weights of intuitionistic fuzzy ordered weighted averaging operator, a linear goal programming procedure is proposed for learning the weights from data. Finally, an example is illustrated to verify the effectiveness and practicability of the developed method.展开更多
We give a fuzzy goal programming (L-UFGP).Definition 1 Let X(?)E_n,A is called a generalized fuzzy set on E_n with respect toX iff (?)(x)∈[0,1] for x∈X and (?)(x)∈E_1 for x∈E_n\X.Definition 2 Let i∈(1,...,p),R(?)...We give a fuzzy goal programming (L-UFGP).Definition 1 Let X(?)E_n,A is called a generalized fuzzy set on E_n with respect toX iff (?)(x)∈[0,1] for x∈X and (?)(x)∈E_1 for x∈E_n\X.Definition 2 Let i∈(1,...,p),R(?)E_n,(?)={x∈R|l_i≤f_i(x)≤u_i} and (?)(f_i(x)) be ageneralized fuzzy set on E_n with respect to (?),(?) is called a fuzzy goal set of f_i(x)iff (?)(y) is a strictly increasing function on E_(?) and (?)(l_i)=0,(?)(u_i)=1.Here l_i iscalled a lower goal of f_i(x) and u_i is called an upper goal of f_i(x).展开更多
基金supported by the National Natural Science Foundation of China (70771025)the Fundamental Research Funds for the Central Universities of Hohai University (2009B04514)Humanities and Social Sciences Foundations of Ministry of Education of China(10YJA630067)
文摘The multiple attribute decision making problems are studied, in which the information about attribute weights is partly known and the attribute values take the form of intuitionistic fuzzy numbers. The operational laws of intuitionistic fuzzy numbers are introduced, and the score function and accuracy function are presented to compare the intuitionistic fuzzy numbers. The intuitionistic fuzzy ordered weighted averaging （IFOWA） operator which is an extension of the well-known ordered weighted averaging （OWA） operator is investigated to aggregate the intuitionistic fuzzy information. In order to determine the weights of intuitionistic fuzzy ordered weighted averaging operator, a linear goal programming procedure is proposed for learning the weights from data. Finally, an example is illustrated to verify the effectiveness and practicability of the developed method.
文摘We give a fuzzy goal programming (L-UFGP).Definition 1 Let X(?)E_n,A is called a generalized fuzzy set on E_n with respect toX iff (?)(x)∈[0,1] for x∈X and (?)(x)∈E_1 for x∈E_n\X.Definition 2 Let i∈(1,...,p),R(?)E_n,(?)={x∈R|l_i≤f_i(x)≤u_i} and (?)(f_i(x)) be ageneralized fuzzy set on E_n with respect to (?),(?) is called a fuzzy goal set of f_i(x)iff (?)(y) is a strictly increasing function on E_(?) and (?)(l_i)=0,(?)(u_i)=1.Here l_i iscalled a lower goal of f_i(x) and u_i is called an upper goal of f_i(x).
