The aim of this paper is to study the conversions between Pythagorean fuzzy sets and Atanassov’s intuitionistic fuzzy sets.Besides,an ORESTE method based on multi-attribute decision making with Pythagorean fuzzy sets...The aim of this paper is to study the conversions between Pythagorean fuzzy sets and Atanassov’s intuitionistic fuzzy sets.Besides,an ORESTE method based on multi-attribute decision making with Pythagorean fuzzy sets is developed by utilising the developed conversions.In this paper,according to the geometric representations of Pythagorean fuzzy sets and Atanassov’s intuitionistic fuzzy sets,two types of conversions between the two fuzzy sets are constructed,which are further used to derive information measures include entropy and cross-entropy measures of Pythagorean fuzzy sets.Then,by combining with the ORESTE method,a direct decision procedure for multi-attribute decision making with Pythagorean fuzzy information is developed.Finally,a numerical example of the evaluation of regional energy efficiency is shown to illustrate the feasibility and validity of the developed decision procedure.展开更多
基金The work was supported by the National Natural Science Foundation of China[grant numbers 71701001,71771001,71871001,71501002,71901001]the Social Science Innovation and Development Research Project in Anhui Province[grant number 2019CX094]+3 种基金the Natural Science Foundation for Distinguished Young Scholars of Anhui Province[grant number 1908085J03]the Natural Science Foundation of Anhui Province[grant number 2008085QG334]the Humanities and Social Sciences Research Project of Universities in Anhui[grant number SK2019A0013]the Human ities and Social Sciences Planning Project of the Ministry of Education[grant number 20YJAZH066].
文摘The aim of this paper is to study the conversions between Pythagorean fuzzy sets and Atanassov’s intuitionistic fuzzy sets.Besides,an ORESTE method based on multi-attribute decision making with Pythagorean fuzzy sets is developed by utilising the developed conversions.In this paper,according to the geometric representations of Pythagorean fuzzy sets and Atanassov’s intuitionistic fuzzy sets,two types of conversions between the two fuzzy sets are constructed,which are further used to derive information measures include entropy and cross-entropy measures of Pythagorean fuzzy sets.Then,by combining with the ORESTE method,a direct decision procedure for multi-attribute decision making with Pythagorean fuzzy information is developed.Finally,a numerical example of the evaluation of regional energy efficiency is shown to illustrate the feasibility and validity of the developed decision procedure.
