no. 4
Solving multi-level multiobjective fractional programming problem with rough interval parameter in neutrosophic environment
RAIRO. Operations Research, Tome 55 (2021) no. 4, pp. 2567-2581

In this study, a novel algorithm is developed to solve the multi-level multiobjective fractional programming problems, using the idea of a neutrosophic fuzzy set. The co-efficients in each objective functions is assumed to be rough intervals. Furthermore, the objective functions are transformed into two sub-problems based on lower and upper approximation intervals. The marginal evaluation of pre-determined neutrosophic fuzzy goals for all objective functions at each level is achieved by different membership functions, such as truth, indeterminacy/neutral, and falsity degrees in neutrosophic uncertainty. In addition, the neutrosophic fuzzy goal programming algorithm is proposed to attain the highest degrees of each marginal evaluation goals by reducing their deviational variables and consequently obtain the optimal solution for all the decision-makers at all levels. To verify and validate the proposed neutrosophic fuzzy goal programming techniques, a numerical example is adressed in a hierarchical decision-making environment along with the conclusions.

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Accepté le :
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DOI : 10.1051/ro/2021108
Classification : 03B52, 03F55, 62J05, 62J99
Keywords: Rough intervals, Indeterminacy membership function, Neutrosophic goal programming algorithm, Hierarchical decision-making problems 
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     author = {Ahmad, Firoz and Ahmad, Shafiq and Soliman, Ahmed T. and Abdollahian, Mali},
     title = {Solving multi-level multiobjective fractional programming problem with rough interval parameter in neutrosophic environment},
     journal = {RAIRO. Operations Research},
     pages = {2567--2581},
     year = {2021},
     publisher = {EDP-Sciences},
     volume = {55},
     number = {4},
     doi = {10.1051/ro/2021108},
     mrnumber = {4305770},
     language = {en},
     url = {https://www.numdam.org/articles/10.1051/ro/2021108/}
}
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Ahmad, Firoz; Ahmad, Shafiq; Soliman, Ahmed T.; Abdollahian, Mali. Solving multi-level multiobjective fractional programming problem with rough interval parameter in neutrosophic environment. RAIRO. Operations Research, Tome 55 (2021) no. 4, pp. 2567-2581. doi: 10.1051/ro/2021108

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