基于ELECTRE的猶豫二元語(yǔ)義多屬性群決策方法

摘要： 針對(duì)屬性權(quán)重完全未知,屬性值為猶豫二元語(yǔ)義信息的多屬性群決策問(wèn)題,提出了一種基于ELECTRE的猶豫二元語(yǔ)義多屬性群決策方法。定義了猶豫二元語(yǔ)義元比較的可能度公式,引入了猶豫二元語(yǔ)義元的距離測(cè)度。利用猶豫二元語(yǔ)義可能度公式確定和諧集、不和諧集與無(wú)差異集,分別根據(jù)可能度和距離測(cè)度確定和諧指數(shù)及不和諧指數(shù),并構(gòu)建相應(yīng)的矩陣,通過(guò)和諧矩陣與不和諧矩陣余矩陣的Hadamard乘積確定綜合優(yōu)勢(shì)矩陣,進(jìn)而確定凈優(yōu)勢(shì)值并實(shí)現(xiàn)方案間的排序。最后通過(guò)算例說(shuō)明所提方法的可行性和有效性。
A hesitant 2-tuple linguistic multi-attribute group decision-making method based on ELECTRE method is proposed to solve the multi-attribute decision-making problems in which the attribute weight is completely unknown, with the attribute value being of hesitant 2-tuple linguistic information. The possibility degree formula for comparing two hesitant 2-tuple linguistic elements is defined, with the distance measure introduced. The hesitant 2-tuple linguistic concordance set, discordance set, and the indifference set are determined by the possibility degree formula in the method. The hesitant 2-tuple linguistic concordance and discordance indices are respectively determined based on the possibility degree and the distance measure, with their corresponding matrices constructed. The comprehensive dominance matrix is determined via the Hadamard product between the concordance matrix and the complementary matrix of the discordance matrix, the net dominant value is determined, and the alternatives are ranked. Finally, an example is given to demonstrate the feasibility and effectiveness by using the proposed method.