An approach to multiple attribute group decision making with interval intuitionistic trapezoidal fuzzy information

Abstract

In this paper, we investigate the multiple attribute group decision making (MAGDM) problems in which both the attribute weights and the expert weights take the form of real numbers, attribute values take the form of interval intuitionistic trapezoidal fuzzy numbers. Firstly, some operational laws of interval intuitionistic trapezoidal fuzzy numbers are introduced. Then some new aggregation operators including interval intuitionistic trapezoidal fuzzy ordered weighted geometric (IITFOWG) operator and interval intuitionistic trapezoidal fuzzy hybrid geometric (IITFHG) operator are proposed and some desirable properties of these operators are studied, such as commutativity, idempotency and monotonicity. An IITFWG and IITFHG operators-based approach is developed to solve the MAGDM problems in which both the attribute weights and the expert weights take the form of real numbers and attribute values take the form of interval intuitionistic trapezoidal fuzzy numbers. Finally, some illustrative examples are given to verify the developed approach and to demonstrate its practicality and effectiveness.

Keyword : multiple attribute group decision making (MAGDM), interval intuitionistic trapezoidal fuzzy numbers, interval intuitionistic trapezoidal fuzzy weighted geometric (IITFWG) operator, interval intuitionistic trapezoidal fuzzy ordered weighted geometric (IITFOWG) operator, interval intuitionistic trapezoidal fuzzy hybrid geometric (IITFHG) operator