Single Valued Neutrosophic Hesitant Fuzzy Computational Algorithm for Multiobjective Nonlinear Optimization Problem
In many real-life situations, it is often observed that the degree of indeterminacy (neutrality) plays an important role along with the satisfaction and dissatisfaction levels of the decision maker(s) (DM(s)) in any decision making process. Due to some doubt or hesitation, it may necessary for DM(s)...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of New Mexico
2018-10-01
|
| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | http://fs.unm.edu/NSS/SingleValuedNeutrosophicHesitant-NSS.22.pdf |
| _version_ | 1818037621976203264 |
|---|---|
| author | Firoz Ahmad Ahmad Yusuf Adhami Florentin Smarandache |
| author_facet | Firoz Ahmad Ahmad Yusuf Adhami Florentin Smarandache |
| author_sort | Firoz Ahmad |
| collection | DOAJ |
| description | In many real-life situations, it is often observed that the degree of indeterminacy (neutrality) plays an important role along with the satisfaction and dissatisfaction levels of the decision maker(s) (DM(s)) in any decision making process. Due to some doubt or hesitation, it may necessary for DM(s) to take opinions from experts which leads towards a set of conflicting values regarding satisfaction, indeterminacy and dis-satisfaction level of DM(s). In order to highlight the above-mentioned insight, we have developed an effective framework which reflects the reality involved in any decision-making process. In this study, a multiobjective nonlinear programming problem (MO-NLPP) has been formulated in the manufacturing system. A new algorithm, neutrosophic hesitant fuzzy programming approach (NHFPA), based on single-valued neutrosophic hesitant fuzzy decision set has been proposed which contains the concept of indeterminacy hesitant degree along with truth and falsity hesitant degrees of different objectives. In order to show the validity and applicability of the proposed approach, a numerical example has been presented. The superiority of the proposed approach has been shown by comparing with other existing approaches. Based on the present work, conclusions and future scope have been presented. |
| first_indexed | 2024-12-10T07:29:46Z |
| format | Article |
| id | doaj.art-90debac52ad34bc985918d70d5b68818 |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-12-10T07:29:46Z |
| publishDate | 2018-10-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-90debac52ad34bc985918d70d5b688182022-12-22T01:57:36ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2018-10-0122768810.5281/zenodo.2160356Single Valued Neutrosophic Hesitant Fuzzy Computational Algorithm for Multiobjective Nonlinear Optimization ProblemFiroz AhmadAhmad Yusuf AdhamiFlorentin SmarandacheIn many real-life situations, it is often observed that the degree of indeterminacy (neutrality) plays an important role along with the satisfaction and dissatisfaction levels of the decision maker(s) (DM(s)) in any decision making process. Due to some doubt or hesitation, it may necessary for DM(s) to take opinions from experts which leads towards a set of conflicting values regarding satisfaction, indeterminacy and dis-satisfaction level of DM(s). In order to highlight the above-mentioned insight, we have developed an effective framework which reflects the reality involved in any decision-making process. In this study, a multiobjective nonlinear programming problem (MO-NLPP) has been formulated in the manufacturing system. A new algorithm, neutrosophic hesitant fuzzy programming approach (NHFPA), based on single-valued neutrosophic hesitant fuzzy decision set has been proposed which contains the concept of indeterminacy hesitant degree along with truth and falsity hesitant degrees of different objectives. In order to show the validity and applicability of the proposed approach, a numerical example has been presented. The superiority of the proposed approach has been shown by comparing with other existing approaches. Based on the present work, conclusions and future scope have been presented.http://fs.unm.edu/NSS/SingleValuedNeutrosophicHesitant-NSS.22.pdfIndeterminacy hesitant membership functionNeutrosophic hesitant fuzzy programmingMultiobjective nonlinear programming problem |
| spellingShingle | Firoz Ahmad Ahmad Yusuf Adhami Florentin Smarandache Single Valued Neutrosophic Hesitant Fuzzy Computational Algorithm for Multiobjective Nonlinear Optimization Problem Neutrosophic Sets and Systems Indeterminacy hesitant membership function Neutrosophic hesitant fuzzy programming Multiobjective nonlinear programming problem |
| title | Single Valued Neutrosophic Hesitant Fuzzy Computational Algorithm for Multiobjective Nonlinear Optimization Problem |
| title_full | Single Valued Neutrosophic Hesitant Fuzzy Computational Algorithm for Multiobjective Nonlinear Optimization Problem |
| title_fullStr | Single Valued Neutrosophic Hesitant Fuzzy Computational Algorithm for Multiobjective Nonlinear Optimization Problem |
| title_full_unstemmed | Single Valued Neutrosophic Hesitant Fuzzy Computational Algorithm for Multiobjective Nonlinear Optimization Problem |
| title_short | Single Valued Neutrosophic Hesitant Fuzzy Computational Algorithm for Multiobjective Nonlinear Optimization Problem |
| title_sort | single valued neutrosophic hesitant fuzzy computational algorithm for multiobjective nonlinear optimization problem |
| topic | Indeterminacy hesitant membership function Neutrosophic hesitant fuzzy programming Multiobjective nonlinear programming problem |
| url | http://fs.unm.edu/NSS/SingleValuedNeutrosophicHesitant-NSS.22.pdf |
| work_keys_str_mv | AT firozahmad singlevaluedneutrosophichesitantfuzzycomputationalalgorithmformultiobjectivenonlinearoptimizationproblem AT ahmadyusufadhami singlevaluedneutrosophichesitantfuzzycomputationalalgorithmformultiobjectivenonlinearoptimizationproblem AT florentinsmarandache singlevaluedneutrosophichesitantfuzzycomputationalalgorithmformultiobjectivenonlinearoptimizationproblem |