Cubic picture fuzzy linear spaces

Kavyasree, P. R.; Reddy, B. Surender

doi:10.1063/5.0058243

Cited by 2 publications

(1 citation statement)

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“…In recent times fuzzy linear spaces have been gaining importance and their extensions include Interval valued fuzzy linear spaces, cubic linear spaces [13], cubic Γ n−normed linear spaces [7], N−cubic sets applied to linear spaces [8], cubic picture fuzzy linear spaces [9], cubic Pythagorean fuzzy linear spaces [10]. The purpose of this paper is to introduce the notion of cubic Pythagorean hesitant fuzzy linear spaces, combining interval-valued Pythagorean hesitant fuzzy linear space and Pythagorean hesitant fuzzy linear space, and to discuss properties with examples.…”

Section: Introductionmentioning

confidence: 99%

Cubic Pythagorean Hesitant Fuzzy Linear Spaces and Its Relevance in Multi Criteria Decision Making

Soujanya,

Kavyasree,

Reddy

2023

Int. J. Anal. Appl.

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Pythagorean fuzzy sets and interval valued Pythagorean fuzzy sets have an important role in decision making techniques. Pythagorean hesitant fuzzy sets are time and again used in dealing with uncertain and vague data. The motive of this paper is to introduce the notion cubic Pythagorean hesitant fuzzy linear spaces. We also present the notion of P(R)-intersection, P(R)-union of cubic Pythagorean hesitant fuzzy linear spaces with examples. Secondly, a series of operators like cubic Pythagorean hesitant fuzzy weighted averaging aggregation operators, cubic Pythagorean hesitant fuzzy order weighted averaging aggregation operators and cubic Pythagorean hesitant fuzzy hybrid order weighted averaging aggregation operators are developed. Then, these aggregation operators are further extended to cubic Pythagorean hesitant fuzzy prioritized weighted averaging aggregation operators by assigning priorities to the criteria. A real life MCDM problem has been illustrated and the effectiveness of the results are compared with those solved using cubic picture hesitant fuzzy prioritized weighted averaging aggregation operators.

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