Neutrosophic Integer Programming Problem

Authors

  • Mai Mohamed Department of Operations Research, Faculty of Computers and Informatics, Zagazig University, Sharqiyah, Egypt
  • Mohamed Abdel-Basset Department of Operations Research, Faculty of Computers and Informatics, Zagazig University, Sharqiyah, Egypt
  • Abdel Nasser H Zaied Department of information system, Faculty of Computers and Informatics, Zagazig University, Egypt
  • Florentin Smarandache University of New Mexico, Math & Science Division, 705 Gurley Ave., Gallup, NM 87301, USA

Keywords:

Neutrosophic, integer programming, single valued triangular neutrosophic number

Abstract

In this paper, we introduce the integer programming in neutrosophic environment, by considering coffecients of problem as a triangulare neutrosophic numbers. The degrees of acceptance, indeterminacy and rejection of objectives are simultaneously considered.The Neutrosophic Integer Programming Problem (NIP) is transformed into a crisp programming model, using truth membership (T), indeterminacy membership (I), and falsity membership (F) functions as well as single valued triangular neutrosophic numbers. To measure the efficiency of the model, we solved several numerical examples.

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Published

2017-02-15

Issue

Vol. 15 (2017): Neutrosophic Sets and Systems

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

Mohamed, M. ., Abdel-Basset, M., H Zaied, A. N. ., & Smarandache, F. (2017). Neutrosophic Integer Programming Problem. Neutrosophic Sets and Systems, 15, 3-7. https://fs.unm.edu/nss8/index.php/111/article/view/395

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