Navigating Economic and Agricultural Realms with Interval-Valued Complex Neutrosophic Fuzzy Sets
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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of New Mexico
2025-07-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | https://fs.unm.edu/NSS/52NavigatingEconomic.pdf |
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| _version_ | 1849338820153049088 |
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| author | Velan Kalaiyarasan Krishnan Muthunagai |
| author_facet | Velan Kalaiyarasan Krishnan Muthunagai |
| author_sort | Velan Kalaiyarasan |
| collection | DOAJ |
| description | 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 elements. 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 intervalvalued complex neutrosophic fuzzy structure. Practical applications include ranking alternatives and identifying optimal choices. Illustrative examples demonstrate its effectiveness in handling interval-valued complex neutrosophic fuzzy sets. |
| format | Article |
| id | doaj-art-06815cf4ad39495eb7a96a9bfa3b7dd0 |
| institution | Kabale University |
| issn | 2331-6055 2331-608X |
| language | English |
| publishDate | 2025-07-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj-art-06815cf4ad39495eb7a96a9bfa3b7dd02025-08-20T03:44:18ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-07-018787489910.5281/zenodo.15733526Navigating Economic and Agricultural Realms with Interval-Valued Complex Neutrosophic Fuzzy SetsVelan Kalaiyarasan Krishnan MuthunagaiThis 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 elements. 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 intervalvalued complex neutrosophic fuzzy structure. Practical applications include ranking alternatives and identifying optimal choices. Illustrative examples demonstrate its effectiveness in handling interval-valued complex neutrosophic fuzzy sets. https://fs.unm.edu/NSS/52NavigatingEconomic.pdfinterval-valued fuzzy setcomplex fuzzy setneutrosophic setneutrosophic fuzzy setcomplex neutrosophic fuzzy setinterval neutrosophic sethamming distanceeulidean distancesimilarity measuremulticriteria decision-making fuzzy set |
| spellingShingle | Velan Kalaiyarasan Krishnan Muthunagai Navigating Economic and Agricultural Realms with Interval-Valued Complex Neutrosophic Fuzzy Sets Neutrosophic Sets and Systems 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 |
| title | Navigating Economic and Agricultural Realms with Interval-Valued Complex Neutrosophic Fuzzy Sets |
| title_full | Navigating Economic and Agricultural Realms with Interval-Valued Complex Neutrosophic Fuzzy Sets |
| title_fullStr | Navigating Economic and Agricultural Realms with Interval-Valued Complex Neutrosophic Fuzzy Sets |
| title_full_unstemmed | Navigating Economic and Agricultural Realms with Interval-Valued Complex Neutrosophic Fuzzy Sets |
| title_short | Navigating Economic and Agricultural Realms with Interval-Valued Complex Neutrosophic Fuzzy Sets |
| title_sort | navigating economic and agricultural realms with interval valued complex neutrosophic fuzzy sets |
| topic | 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 |
| url | https://fs.unm.edu/NSS/52NavigatingEconomic.pdf |
| work_keys_str_mv | AT velankalaiyarasan navigatingeconomicandagriculturalrealmswithintervalvaluedcomplexneutrosophicfuzzysets AT krishnanmuthunagai navigatingeconomicandagriculturalrealmswithintervalvaluedcomplexneutrosophicfuzzysets |