LR-Type Fully Single-Valued Neutrosophic Linear Programming Problems
A single-valued neutrosophic set, an generalization of intuitionistic fuzzy set, is a powerful model to deal with uncertainty. In this study we present a method to solve LR-type single-valued neutrosophic linear programming problems by using unrestricted LR-type single-valued neutrosophic numbers. W...
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Format: | Article |
Language: | English |
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University of New Mexico
2021-10-01
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Series: | Neutrosophic Sets and Systems |
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Online Access: | http://fs.unm.edu/NSS/LRTypeNeutrosophic29.pdf |
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author | Jamil Ahmed |
author_facet | Jamil Ahmed |
author_sort | Jamil Ahmed |
collection | DOAJ |
description | A single-valued neutrosophic set, an generalization of intuitionistic fuzzy set, is a powerful model to deal with uncertainty. In this study we present a method to solve LR-type single-valued neutrosophic linear programming problems by using unrestricted LR-type single-valued neutrosophic numbers. We propose the ranking function to transform LR-type single-valued neutrosophic problems into crisp problems. The arithmetic operations for unrestricted LR-type single-valued neutrosophic numbers are introduced. We propose a method to solve the fully single-valued neutrosophic linear programming problems with equality constraints having LR-type single-valued neutrosophic numbers as right hand sides, parameters and variables. We describe our proposed method by solving real life examples. |
first_indexed | 2024-04-12T16:29:47Z |
format | Article |
id | doaj.art-0ab01f476dbf402b993274a726d23631 |
institution | Directory Open Access Journal |
issn | 2331-6055 2331-608X |
language | English |
last_indexed | 2024-04-12T16:29:47Z |
publishDate | 2021-10-01 |
publisher | University of New Mexico |
record_format | Article |
series | Neutrosophic Sets and Systems |
spelling | doaj.art-0ab01f476dbf402b993274a726d236312022-12-22T03:25:10ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2021-10-014641644410.5281/zenodo.5553548LR-Type Fully Single-Valued Neutrosophic Linear Programming ProblemsJamil Ahmed A single-valued neutrosophic set, an generalization of intuitionistic fuzzy set, is a powerful model to deal with uncertainty. In this study we present a method to solve LR-type single-valued neutrosophic linear programming problems by using unrestricted LR-type single-valued neutrosophic numbers. We propose the ranking function to transform LR-type single-valued neutrosophic problems into crisp problems. The arithmetic operations for unrestricted LR-type single-valued neutrosophic numbers are introduced. We propose a method to solve the fully single-valued neutrosophic linear programming problems with equality constraints having LR-type single-valued neutrosophic numbers as right hand sides, parameters and variables. We describe our proposed method by solving real life examples. http://fs.unm.edu/NSS/LRTypeNeutrosophic29.pdflr-type single-valued neutrosophic numbersranking functionarithmetic operations |
spellingShingle | Jamil Ahmed LR-Type Fully Single-Valued Neutrosophic Linear Programming Problems Neutrosophic Sets and Systems lr-type single-valued neutrosophic numbers ranking function arithmetic operations |
title | LR-Type Fully Single-Valued Neutrosophic Linear Programming Problems |
title_full | LR-Type Fully Single-Valued Neutrosophic Linear Programming Problems |
title_fullStr | LR-Type Fully Single-Valued Neutrosophic Linear Programming Problems |
title_full_unstemmed | LR-Type Fully Single-Valued Neutrosophic Linear Programming Problems |
title_short | LR-Type Fully Single-Valued Neutrosophic Linear Programming Problems |
title_sort | lr type fully single valued neutrosophic linear programming problems |
topic | lr-type single-valued neutrosophic numbers ranking function arithmetic operations |
url | http://fs.unm.edu/NSS/LRTypeNeutrosophic29.pdf |
work_keys_str_mv | AT jamilahmed lrtypefullysinglevaluedneutrosophiclinearprogrammingproblems |