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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Main Author: Jamil Ahmed
Format: Article
Language:English
Published: University of New Mexico 2021-10-01
Series:Neutrosophic Sets and Systems
Subjects:
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.
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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