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

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.15733526

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Published

2025-09-01

How to Cite

Velan Kalaiyarasan, & Krishnan Muthunagai. (2025). Navigating Economic and Agricultural Realms with Interval-Valued Complex Neutrosophic Fuzzy Sets. Neutrosophic Sets and Systems, 87, 874-899. https://fs.unm.edu/nss8/index.php/111/article/view/6596