Inverse fractional function setting sine trigonometric  neutrosophic set approach to interaction aggregating operators

Murugan Palanikumar; Nasreen kausar; Tonguc Cagin

Authors

Murugan Palanikumar Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India;
Nasreen kausar Department of Mathematics, Faculty of Arts and Science, Balikesir University, 10145 Balikesir, Turkey;
Tonguc Cagin College of Business Administration, American University of the Middle East, Kuwait;

Keywords:

weighted averaging, weighted geometric, generalized weighted averaging, generalized weighted geometric

Abstract

In this paper we present novel techniques for the interacting aggregating operator of the inverse
fractional function sine trigonometric neutrosophic set. Swapping the input and output variables and solving
for the original input variable in terms of the original output variable are the steps involved in determining
the inverse of a function. The innovative averaging and geometric operations of inverse fractional function
sine trigonometric neutrosophic numbers are studied using the universal aggregation function. The inverse
fractional function sine trigonometric neutrosophic set is idempotent, boundedness compatible, associative and
commutative. Four new aggregating operators are introduced: inverse fractional function sine trigonometric
neutrosophic weighted averaging, inverse fractional function sine trigonometric neutrosophic weighted geometric,
generalized inverse fractional function sine trigonometric neutrosophic weighted averaging, and generalized
inverse fractional function sine trigonometric neutrosophic weighted geometric. The aggregation functions are
frequently thought to be represented by the Euclidean distance, Hamming distance and score values

DOI: 10.5281/zenodo.14827152