基于混合加權(quán)距離的畢達(dá)哥拉斯模糊TOPSIS多屬性決策方法研究

摘要： 針對決策信息為畢達(dá)哥拉斯模糊集的多屬性決策問題,提出了一種基于混合加權(quán)測度的TOPSIS決策方法。在分析了現(xiàn)有距離測度方法不足的基礎(chǔ)上,首先給出了一種新的畢達(dá)哥拉斯模糊距離測度——畢達(dá)哥拉斯模糊有序加權(quán)距離(PFOWD),并研究了該測度權(quán)重的確定方法;在PFOWD基礎(chǔ)上,進(jìn)一步提出了畢達(dá)哥拉斯模糊混合加權(quán)距離(PFHWD),同時(shí)探討了其特征和與現(xiàn)有畢達(dá)哥拉斯模糊測度的關(guān)系;最后提出了一種基于PFHWD測度的畢達(dá)哥拉斯模糊TOPSIS多屬性方法,并用實(shí)例驗(yàn)證了方法的有效性和可行性。
The aim of this paper is to present a technique based on the hybrid weighted distance(PFHWD)measure for Pythagorean fuzzy TOPSIS model.Firstly,the inadequacies for the existing Pythagorean fuzzy distance measures are analyzed in detail.Then,two new distance measures,namely the Pythagorean fuzzy ordered weighted distance measure and the PFHWD measure are presented to enhance Pythagorean fuzzy theory,some of their advantages are also explored.Furthermore,based on the proposed measures,a modified TOPSIS termed the PFHWD-TOPSIS,is developed for Pythagorean fuzzy multiple attribute decision making problems.Moreover,a revised relative coefficient is proposed to rank the potential alternatives.Finally,a numerical example concerning the service quality of domestic airlines is introduced to demonstrate the effectiveness of the developed model.The research of this paper contributes to enrich the theory and application of Pythagorean fuzzy set.