Intuitionistic Fuzzy Einstein Prioritized Weighted Average Operators and their Application to Multiple Attribute Group Decision Making

Authors

Rajkumar Verma, Department of Applied Sciences, HMR Institute of Technology and Management, Guru Gobind Singh Indraprastha University, Hamidpur, Delhi-110036, IndiaFollow
BhuDev Sharma, Department of Mathematics, Jaypee Institute of Information Technology (Deemed University), A-10, Sector-62, Noida-201307, Uttar Pradesh, IndiaFollow

Author Country (or Countries)

India

Abstract

This study investigates the multiple attribute decision making under intuitionistic fuzzy environment in which the attributes and the decision makers are in different priority levels. In this paper, we first propose two new intuitionistic fuzzy aggregation operators such as the intuitionistic fuzzy Einstein prioritized weighted average (IFEPWA) operator and the intuitionistic fuzzy Einstein prioritized weighted geometric (IFEPWG) operator for aggregating intuitionistic fuzzy information. These proposed operators can capture the prioritization phenomenon among the aggregated arguments. The properties of the new aggregation operators are studied in details and their special cases are examined. Furthermore, based on the proposed operators, an approach to deal with multiple attribute group decision making problems under intuitionistic fuzzy environment is developed. Finally, a practical example is provided to illustrate the multiple attribute group decision making process with intuitionistic fuzzy information.

Recommended Citation

Verma, Rajkumar and Sharma, BhuDev (2015) "Intuitionistic Fuzzy Einstein Prioritized Weighted Average Operators and their Application to Multiple Attribute Group Decision Making," Applied Mathematics & Information Sciences: Vol. 09: Iss. 6, Article 39.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss6/39