Density aggregation operators based on the intuitionistic trapezoidal fuzzy numbers for multiple attribute decision making

Abstract

With respect to the multiple attribute decision making problems in which the attribute values take the form of the intuitionistic trapezoidal fuzzy numbers, some methods based on density aggregation operators are proposed. Firstly, the definition, expected value and the ranking method of intuitionistic trapezoidal fuzzy numbers are introduced, and the method of calculating density weighted vector is proposed. Then some density aggregation operators based on interval numbers and intuitionistic trapezoidal fuzzy numbers are developed, and a multiple attribute decision making method is presented. Finally an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.

Keywords:

• density aggregation operator
• interval numbers
• intuitionistic trapezoidal fuzzy numbers
• multiple attribute decision making

JEL Classification:

• C60
• D81

Additional information

Notes on contributors

Peide Liu

Peide LIU obtained his Doctoral degree in Management Science and Engineering in the Beijing Jiaotong University, obtained his Master's degree in Signal and Information Processing in the Southeast University, and obtained his Bachelor's degree in Signal and Information Processing in the Southeast University. Now, he is currently a Professor with School of Management Science and Engineering in Shandong University of Finance and Economics, and he is an Associate Editor of Journal of Intelligent and Fuzzy Systems, a member of Editorial Board of Technological and Economic Development of Economy, The Scientific World Journal, etc. He has authored or coauthored more than 100 publications. His main research fields are decision analysis and decision support, applied mathematics, expert systems, technology and information management, intelligent information processing.

Xiaocun Yu

Xiaocun YU is studying for a Master's degree in Information Management with School of Management Science and Engineering in Shandong University of Finance and Economics. Her main research fields are decision analysis and decision support, electronic-commerce, etc.