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International Journal for Uncertainty Quantification
CiteScore™: 1.52 IF: 0.967 5-Year IF: 1.301 SNIP: 0.8 SJR: 0.531

ISSN Print: 2152-5080
ISSN Online: 2152-5099

Open Access

International Journal for Uncertainty Quantification

DOI: 10.1615/Int.J.UncertaintyQuantification.2018020471
pages 405-427

CUBIC INTUITIONISTIC FUZZY AGGREGATION OPERATORS

Gagandeep Kaur
School of Mathematics, Thapar Institute of Engineering and Technology (Deemed University) Patiala 147004, Punjab, India
Harish Garg
School of Mathematics, Thapar Institute of Engineering and Technology (Deemed University) Patiala 147004, Punjab, India

ABSTRACT

The objective of this manuscript is to present some series of aggregation operators under the cubic intuitionistic fuzzy set (CIFS) and their suitable properties. Firstly an operational law, score function, and accuracy function between the cubic intuitionistic fuzzy numbers (CIFNs) under the P-order and R-order are defined and hence based on them, some weighted averaging and geometric aggregation operators, namely, cubic intuitionistic fuzzy weighted, ordered weighted, hybrid averaging, and geometric aggregation operators are proposed. A decision-making method based on these operators is proposed for ranking the different sets of the alternative under CIFS domain. Finally, an illustrative example is given to demonstrate the proposed approach.