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Application of Interval Neutrosophic Power Hamy Mean Operators in MAGDM
Volume 30, Issue 2 (2019), pp. 293–325
Pub. online: 5 August 2022      Type: Research Article      Open accessOpen Access
Received
1 August 2018
Accepted
1 January 2019
Published
5 August 2022

Abstract

The Hamy mean (HM) operator, as a convenient mathematical aggregation tool, can deal with the interrelationship among multiple input parameters, and the power average (PA) operator can relieve the influence of awkward assessment values in the decision consequences. The interval neutrosophic sets (INSs) are a more powerful mathematical tool to handle insufficient, indeterminate and vague information that exists in real life problems. Yet, in some complicated decision-making situations, we require to consider the correlation between multi-input arguments and remove the influence of awkward data at the same time. To deal with such situations, in this paper, we combine the conventional HM operator to the traditional PA operator in interval neutrosophic settings and present two novel interval neutrosophic aggregation operators, that is, the interval neutrosophic power Hamy mean (INPHM) operator and the weighted interval neutrosophic power Hamy mean (WINPHM) operators. Then, some preferable properties of the developed aggregation operators are discussed. Moreover, based on these developed aggregation operators, we propose a new method for multiple attribute group decision making (MAGDM) under the INSs. Lastly, some examples are given to show the effectiveness of the developed method by comparing it with other existing methods.

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Biographies

Liu Peide
peide.liu@gmail.com

P. Liu received the BS and MS degrees in signal and information processing from Southeast University, Nanjing, China, in 1988 and 1991, respectively, and the PhD degree in information management from Beijng Jiaotong University, Beijing, China, in 2010.

He is currently a professor with the School of Management Science and Engineering, Shandong University of Finance and Economics, Shandong, China. He is an associate editor of the Journal of Intelligent and Fuzzy Systems, a member of the editorial board of the Journal Technological and Economic Development of Economy, and a member of the editorial board of other 12 journals. He has authored or coauthored more than 200 publications. His research interests include aggregation operators, fuzzy logic, fuzzy decision making, and their applications.

Khan Qaisar
qaisarkhan421@gmail.com

Q. Khan is currently a PhD candidate at the Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan. He received his MS degree in mathematics from International Islamic University Islamabad, Pakistan, in 2014 under the supervision of Dr. Tahir Mahmood. He has 25 international publications to his credit. His areas of interest are automata theory, decision making and neutrosophc theory.

Mahmood Tahir
tahirbakhat@iiu.edu.pk

T. Mahmood is assistant professor of Mathematics at Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan. He received his PhD degree in mathematics from Quaid-i-Azam University, Islamabad, Pakistan in 2012 under the supervision of professor Dr. Muhammad Shabir. His areas of interest are algebraic structures, fuzzy algebraic structures and soft sets. He has more than 65 international publications to his credit and he has also produced 38 MS students.


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Keywords
interval neutrosophic sets Hamy mean operators power average operators MAGDM

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