A novel triangular interval type-2 intuitionistic fuzzy sets and their aggregation operators. (English) Zbl 1407.91082
Summary: The objective of this work is to present a triangular interval type-2 (TIT2) intuitionistic fuzzy sets and their corresponding aggregation operators, namely, TIT2 intuitionistic fuzzy weighted averaging, TIT2 intuitionistic fuzzy ordered weighted averaging and TIT2 intuitionistic fuzzy hybrid averaging based on Frank norm operation laws. Furthermore, based on these operators, an approach to multi-criteria decision-making, in which assessments are in the form of TIT2 intuitionistic fuzzy numbers is developed. A practical example to illustrate the decision-making process is presented and compared their results with the existing operator results.
MSC:
| 91B06 | Decision theory |
Keywords:
type-2 fuzzy set; type-2 intuitionistic fuzzy sets; triangular interval type-2 intuitionistic fuzzy sets; multi criteria decision-making; aggregation operatorsReferences:
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