Characterization of interaction aggregating operators setting interval-valued Pythogorean neutrosophic set

In this work, we present novel techniques for the interval-valued Pythogorean neutrosophic interaction aggregating operator. A hybrid of the neutrosophic set and the interval-valued Pythogorean fuzzy set. The innovative averaging and geometric operations of interval-valued Pythogorean neutrosophic interaction numbers are studied using aggregation operator. The interval-valued Pythogorean neutrosophic interaction is boundedness compatible, idempotent, associative, and commutative. Four new aggregating operators are introduced: IPNI weighted averaging operator, interval-valued Pythogorean neutrosophic interaction weighted geometric operator, generalized interval-valued Pythogorean neutrosophic interaction weighted averaging and generalized interval-valued Pythogorean neutrosophic interaction weighted geometric.

Publication Details

Journal
SHILAP Revista de lepidopterología
Published
2025-02-06
DOI
https://doi.org/10.5281/zenodo.14827392
Primary Topic
Multi-Criteria Decision Making
Type
article
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article

Characterization of interaction aggregating operators setting interval-valued Pythogorean neutrosophic set

SHILAP Revista de lepidopterología
Multi-Criteria Decision Making
article

Characterization of interaction aggregating operators setting interval-valued Pythogorean neutrosophic set

article en

Abstract

In this work, we present novel techniques for the interval-valued Pythogorean neutrosophic interaction aggregating operator. A hybrid of the neutrosophic set and the interval-valued Pythogorean fuzzy set. The innovative averaging and geometric operations of interval-valued Pythogorean neutrosophic interaction numbers are studied using aggregation operator. The interval-valued Pythogorean neutrosophic interaction is boundedness compatible, idempotent, associative, and commutative. Four new aggregating operators are introduced: IPNI weighted averaging operator, interval-valued Pythogorean neutrosophic interaction weighted geometric operator, generalized interval-valued Pythogorean neutrosophic interaction weighted averaging and generalized interval-valued Pythogorean neutrosophic interaction weighted geometric.

SHILAP Revista de lepidopterología
Openalex Percentile: Top 45%
Multi-Criteria Decision Making
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