Journal
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS
Volume 34, Issue 4, Pages 601-626Publisher
WILEY-HINDAWI
DOI: 10.1002/int.22067
Keywords
aggregation operators; hesitant Pythagorean fuzzy set (HPFS); Maclaurin symmetric mean (MSM); multiattribute decision making (MADM); Pythagorean fuzzy set
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Hesitant Pythagorean fuzzy (HPF) sets can easily express the uncertain information while Maclaurin symmetric mean (MSM) operator, can capture the interrelationship among the multiattributes, and are suitable for aggregating the information into a single number. By taking the advantages of both, in this paper, we extend the traditional MSM to HPF environment. For this, we develop the HPFMSM operator for aggregating the HPF information. The desirable characteristics, such as idempotency, monotonicity, and boundedness, are studied. Then, we discussed some special cases with respect to the parameter value of the HPFMSM operators and showed that it generalizes the various existing operators. Furthermore, we studied the weighted HPFMSM operator to aggregate the HPF information with different preferences to the input arguments. On the basis of these operators, we solved the multiattribute decision-making problems with HPF information. The practicality and effectiveness of the developed approach are demonstrated through a numerical example.
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