Intuitionistic Trapezoidal Fuzzy Prioritized Operators and Their Application to Multiple Attribute Group Decision Making

Abstract

Aims: The aim of this paper is to propose some intuitionistic trapezoidal fuzzy prioritized operators and interval-valued intuitionistic trapezoidal fuzzy prioritized operators for handling multiple attribute group decision making problems in which the attributes and decision makers are in different priority level. Study Design: First, we present two intuitionistic trapezoidal fuzzy prioritized aggregation operators called the intuitionistic trapezoidal fuzzy prioritized weighted average (ITFPWA) operator and the intuitionistic trapezoidal fuzzy prioritized weighted geometric (ITFPWG) operator. Place and Duration of Study: These two operators can capture the prioritization phenomenon among the aggregated arguments. Methodology: Then, some desirable properties of two new operators are examined in detail. Next, we utilize the proposed operators to develop an approach to multiple attribute group decision making under intuitionistic trapezoidal fuzzy environment in which the attributes and decision makers are in different priority level, and a practical example is provided to illustrate the practicality and effectiveness of the developed approach. Results: Furthermore, the intuitionistic trapezoidal fuzzy prioritized aggregation operators are extended to interval-valued intuitionistic trapezoidal fuzzy environment, and two interval-valued intuitionistic trapezoidal fuzzy prioritized aggregation operators are introduced. Subsequently, an approach to multiple attribute group decision making with interval-valued intuitionistic trapezoidal fuzzy information is developed. Conclusion: Finally, an application of the proposed approach to group decision making problem with interval-valued intuitionistic trapezoidal fuzzy information is shown with the demonstration of a numerical example.