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

Raed Hatamleh; Ahmed Salem Heilat; M.Palanikumar; Abdallah Al-Husban

Authors

Raed Hatamleh Department of Mathematics, Faculty of Science, Jadara University, P.O. Box 733, Irbid 21110, Jordan;
Ahmed Salem Heilat Department of Mathematics, Faculty of Science, Jadara University, P.O. Box 733, Irbid 21110, Jordan;
M.Palanikumar Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India;
Abdallah Al-Husban Department of Mathematics, Faculty of Science and Technology, Irbid National University, P.O. Box: 2600 Irbid, Jordan;

Keywords:

weighted averaging, weighted geometric, generalized weighted averaging, generalized weighted geo metric

Abstract

In this work, we present novel techniques for the interval-valued Pythogorean neutrosophic interac
tion 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 bounded
ness 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.

DOI: 10.5281/zenodo.14827392