Navigating Economic and Agricultural Realms with  Interval-Valued Complex Neutrosophic Fuzzy Sets.

Velan Kalaiyarasan; Krishnan Muthunagai

Authors

Velan Kalaiyarasan Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology Chennai, Vandaloor to Kelambakkam Road, Chennai, 600127, Tamil Nadu, India;
Krishnan Muthunagai Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology Chennai Vandaloor to Kelambakkam Road, Chennai, 600127, Tamil Nadu, India;

Keywords:

Interval-valued fuzzy set, Complex fuzzy set, Neutrosophic set, Neutrosophic fuzzy set, Complex neutrosophic fuzzy set, Interval neutrosophic set, Hamming distance, Eulidean distance, Similarity measure, Multicriteria decision-making fuzzy set.

Abstract

This article introduces the concept of the interval-valued complex neutrosophic fuzzy set, which
extends traditional neutrosophic sets to address challenges like uncertainty, inconsistency, and indeterminate
information. This specialized set blends complex fuzzy functions and real-valued fuzzy terms with phase ele
ments. This article also discusses Hamming and Euclidean distances and proposes similarity measures based
on these distances. These measures are applied in a multi-criteria decision-making method within an interval
valued complex neutrosophic fuzzy structure. Practical applications include ranking alternatives and identifying
optimal choices. Illustrative examples demonstrate its effectiveness in handling interval-valued complex neutro
sophic fuzzy sets.

DOI: 10.5281/zenodo.15825573