Abstract
Intuitionistic fuzzy set is a very useful tool to depict uncertainty. Lots of multi-criteria group decision making methods under intuitionistic fuzzy environment have been developed. Current methods are under the assumption that the criteria and the decision makers are at the same priority level. However, in real group decision making problems, criteria and decision makers have different priority level commonly. In this paper, multi-criteria group decision making problems where there exists a prioritization relationship over the criteria and decision makers are studied. First, the intuitionistic fuzzy prioritized weighted average (IFPWA) and the intuitionistic fuzzy prioritized weighted geometric (IFPWG) operators are proposed. Then, some of their desirable properties are investigated in detail. Furthermore, the procedure of multi-criteria group decision making based on the proposed operators is given under intuitionistic fuzzy environment. Finally, a practical example about talent introduction is provided to illustrate the developed method.
Highlights
IntroductionIn the second category it is assumed that there are interactions phenomena among the decision making criteria
Atanasov (1986) extended the concept of fuzzy sets which was proposed by Zadeh (1965), and introduced the intuitionistic fuzzy set (IFS)
In the second category it is assumed that there are interactions phenomena among the decision making criteria. To deal with this issue, Xu (2011a) extended the power average (Yager 2001) to intuitionistic fuzzy environment and introduced a series of operators for aggregating intuitionistic fuzzy values (IFVs) whose weighting vectors depend on the input arguments
Summary
In the second category it is assumed that there are interactions phenomena among the decision making criteria To deal with this issue, Xu (2011a) extended the power average (Yager 2001) to intuitionistic fuzzy environment and introduced a series of operators for aggregating intuitionistic fuzzy values (IFVs) whose weighting vectors depend on the input arguments. Consider the situation in which a woman is making a decision based on consideration of powdered milk cost and safety for her child She should not allow a benefit with respect to cost of powdered milk compensate for a loss in safety.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
