Another View on Intuitionistic Fuzzy Preference Relation-Based Aggregation Operators and Their Applications
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Another View on Intuitionistic Fuzzy Preference Relation-Based Aggregation Operators and Their Applications Peide Liu1 • Abbas Ali2 • Noor Rehman3 • Syed Inayat Ali Shah4
Received: 19 December 2019 / Revised: 10 March 2020 / Accepted: 3 May 2020 Ó Taiwan Fuzzy Systems Association 2020
Abstract Multi-attribute group decision making (MAGDM) can be considered as the process of ranking alternatives or selecting an optimal alternative by many decision makers based on multiple criteria. By comparing any two alternatives pairwise, preference relations provide efficient ways to represent the preference degrees of decision makers. The aim of this paper is to introduce the notions of upward intuitionistic fuzzy preference relations from fuzzy information system and to study some properties of these relations. Further the series of upward intuitionistic fuzzy preference aggregation operators including the upward intuitionistic fuzzy preference weighted averaging ðUIFPWAÞ operator, upward intuitionistic fuzzy preference ordered weighted averaging ðUIFPOWAÞ operator and upward intuitionistic fuzzy preference hybrid averaging ðUIFPHAÞ operator and their related results are also investigated. We developed a MAGDM method based
& Noor Rehman [email protected]; [email protected] Peide Liu [email protected] Abbas Ali [email protected] 1
School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan 250014, Shandong, China
2
Department of Mathematics & Statistics, Riphah International University, Hajj Complex I-14, Islamabad, Pakistan
3
Department of Mathematics & Statistics, Bacha Khan University, Charsadda, Khyber Pakhtunkhwa, Pakistan
4
Department of Mathematics, Islamia College University, Peshawar, Khyber Pakhtunkhwa, Pakistan
on the proposed operators under the fuzzy environment and illustrated with a numerical example to study the applicability of the new approach on a candidate selection decision-making problem. Keywords Fuzzy set Fuzzy preference relation Upward intuitionistic fuzzy preference relation
1 Introduction In practical complex environment, when we encounter multi-attribute group decision problems, we often adopt information fusion operators [1–3], or calculate correlation coefficient and similarity [4–8], between the alternatives and the negative ideal solution, or use some existing decision methods [9, 10] to order all the alternatives and select the best choice. Among the above decision-making tools, more and more experts and scholars have been attracted to choose the optimal scheme through the existed decision-making methods. For the indeterminacy of decision makers and the decision-making issues, we always cannot give accuracy evaluation values of alternatives to select the best project in real MADM problems. To conquer this disadvantage, fuzzy set theory, as a tool to consider the uncertainty of environment and the fuzziness of human’s judgment, has been widely used in various fields since it was proposed by Zadeh [11]. The notion of intuition
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