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An Approach to Interval-Valued Intuitionistic Fuzzy Multiple Attribute Decision Making Based on the MSM Operator and Their Applications to Online Advertising Publisher Evaluation

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The Maclaurin symmetric mean (MSM) was originally introduced by Maclaurin. The prominent characteristic of the MSM is that it can capture the interrelationship among the multi-input arguments. However, the researches on MSM are very rare, especially in fuzzy decision making. In this paper, we investigate the MSM operator and extend the MSM operator to interval-valued intuitionistic fuzzy environment and develop the interval-valued intuitionistic fuzzy Maclaurin symmetric mean (IVIFMSM) operator. Some desirable properties and special cases of IVIFMSM operator are discussed in detail. Based on IVIFMSM operator, an approach to multiple attribute decision making problems with interval-valued intuitionistic fuzzy information is developed. Finally, an illustrative example for online advertising publisher evaluation is given to verify the developed approach and to demonstrate its practicality and effectiveness.
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Keywords: Interval-Valued Intuitionistic Fuzzy Maclaurin Symmetric Mean (IVIFMSM) Operator; Interval-Valued Intuitionistic Fuzzy Numbers; Online Advertising Publisher; Operational Laws

Document Type: Research Article

Affiliations: Department of Journalism, School of Journalism and Culture Communication, Zhongnan University of Economics and Law, Wuhan, 430073, Hubei, China

Publication date: October 1, 2016

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  • Journal of Computational and Theoretical Nanoscience is an international peer-reviewed journal with a wide-ranging coverage, consolidates research activities in all aspects of computational and theoretical nanoscience into a single reference source. This journal offers scientists and engineers peer-reviewed research papers in all aspects of computational and theoretical nanoscience and nanotechnology in chemistry, physics, materials science, engineering and biology to publish original full papers and timely state-of-the-art reviews and short communications encompassing the fundamental and applied research.
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