Multiple Attribute Group Decision Making Based On The Ordered Weighted Of Intuitionistic Fuzzy Set And Its Application

With the rapid development of modern society,individuals encounter quite complex decision environment.Due to the limited knowledge and lack of experience,decision makers may hesitate when they estimate the uncertain decision making information.As a useful tool,the intuitionistic fuzzy number is usually used to solve multiple attribute group decision making(MAGDM)problems.The thesis investigates MAGDM problems,in which the attribute values mainly take the form of the intuitionistic fuzzy information and the main sections are summarized as follows:1.The fuzzy entropic ordered weighted averaging(FEOWA)operator is developed for MAGDM under fuzzy environment,which is the special situation of the intuitionistic fuzzy environment.The FEOWA operator is an extension of the entropic ordered weighted averaging operator,which unifies the fuzzy entropy and the ordered weighted averaging operator in the same formulation.Then,some of its main properties by utilizing some operational laws of fuzzy numbers are studied.We also present the generalized entropic ordered weighted averaging operator and the generalized FEOWA operator.2.Based on the intuitionistic fuzzy entropic weighted averaging(IFEWA)operator,the intuitionistic fuzzy induced ordered entropic weighted averaging(IFIOEWA)operator is constructed for MAGDM problems.The new operator's attribute values take the form of intuitionistic fuzzy numbers(IFNs)and the intuitionistic fuzzy entropy(IFE)is fully taken into account as a part of the weighted vector.Afterwards,the prime properties of the IFIOEWA operator are investigated under the operational laws of intuitionistic fuzzy numbers(IFNs).3.With respect to MAGDM,in which the attribute values take the form of intuitionistic fuzzy linguistic variables,the intuitionistic fuzzy linguistic induce ordered weighted averaging(IFLIOWA)operator is proposed.The properties of the IFLIOWA operator are analyzed by utilizing the operational laws of intuitionistic fuzzy linguistic variables.4.The novel intuitionistic fuzzy induced ordered weighted Euclidean distance(NIFIOWED)operator is presented based on the generalized intuitionistic fuzzy distance for MAGDM.The NIFIOWED operator's attribute values take the form of Atanassov's intuitionistic fuzzy numbers(A-IFNs)(x _i,?_i,?_i),and the principal component of _ix is taken into account first.The prime properties of the NIFIOWED operator are investigated.Besides,some new methods and numerical examples are provided to reveal the availability and practicability of the IFIOEWA operator,the IFLIOWA operator and the NIFIOWED operator,respectively.