Interval-Valued Fuzzy Soft Subhemiring of Hemiring and it’s Application
Journal: International Journal of Mathematical Sciences and Computing @ijmsc
Article in issue: 2 vol.9, 2023.
Free access
In this paper, we initiated the idea of interval-valued fuzzy soft set (IVFSS) and a few results, Operations, definitions, and properties also a few properties and characteristics of IVFSSs and Prove some of theorem and we discuss a few examples uses of soft set in finding a selection taking problem. Also initiated the comparable measure of two IVFSSs and discuss with the Presentation of medical application problem.
Fuzzy set
\ soft set (FS)
\ fuzzy soft set (FSS)
\ interval-valued fuzzy soft set (IVFSS)
\ soft sub hemiring of a hemiring
Similar articles in the section Number theory
Short address: https://sciup.org/15019052
IDS: 15019052 | DOI: 10.5815/ijmsc.2023.02.05
References Interval-Valued Fuzzy Soft Subhemiring of Hemiring and it’s Application
- D. Molodtsov, "Soft set theory first results," Computers and Mathematics with Applications, vol. 37, no.4-5, pp. 19–31, 1999.
- A. R. Roy and P. K. Maji, "A fuzzy soft set theoretic approach to decision making problems," Journal of Computational and Applied Mathematics, vol. 203, no. 2, pp. 412–418, 2007.
- P. K. Maji, R. Biswas, and A. R. Roy, "Fuzzy soft sets," Journal of Fuzzy Mathematics, vol. 9, no. 3, pp.589–602, 2001.
- Y. Zou and Z. Xiao, "Data analysis approaches of soft sets under incomplete information," Knowledge based Systems, vol. 21, no. 8, pp. 941–945, 2008.
- P. K. Maji, R. Biswas, and A. R. Roy, "Soft set theory," Computers and Mathematics with Applications,vol. 45, no. 4-5, pp. 555–562, 2003.
- P. K. Maji, R. Biswas, and A. R. Roy, "Soft set theory," Computers and Mathematics with Applications,vol. 45, no. 4-5, pp. 555–562, 2003.
- S. Alkhazaleh, A. R. Salleh, and N. Hassan, "Soft multisets theory," Applied Mathematical Sciences, vol.5, no. 72, pp. 3561–3573, 2011.
- S. Alkhazaleh, A. R. Salleh, and N. Hassan, "Fuzzy parameterized interval-valued fuzzy soft set,"Applied Mathematical Sciences, vol. 5, no. 67, pp. 3335–3346, 2011.
- S. Alkhazaleh and A. R. Salleh, "Soft expert sets," Advances in Decision Sciences, vol. 2011, 15 pages, 2011.
- S. Alkhazaleh, A. R. Salleh, and N. Hassan, "Possibility fuzzy soft set," Advances in Decision Sciences, 18 pages, 2011.
- P. Majumdar and S. K. Samanta, "Generalized fuzzy soft sets," Computers and Mathematics with Applications, vol. 59, no. 4, pp. 1425–1432, 2010.
- X. Yang, T. Y. Lin, J. Yang, Y. Li, and D. Yu, "Combination of interval-valued fuzzy set and soft set, "Computers and Mathematics with Applications, vol. 58, no. 3, pp. 521–527, 2009.
- M. B. Gorzałczany, "A method of inference in approximate reasoning based on interval-valued fuzzy sets," Fuzzy Sets and Systems, vol. 21, no. 1, pp. 1–17, 1987.
- L. A. Zadeh, "The concept of a linguistic variable and its application to approximate reasoning-I,"vol. 8, pp. 199–249, 1975.
- M. I. Ali, M. Shabir, and M. Naz, "Algebraic structures of soft sets associated with new operations," Computers & Mathematics with Applications, vol. 61, no. 9, pp. 2647–2654, 2011.
- A. Sezgin and A. O. Atagün, "On operations of soft sets," Computers & Mathematics with Applications, vol. 61, no. 5, pp. 1457–1467, 2011.
- P. Majumdar and S. K. Samanta, "On soft mappings," Computers & Mathematics with Applications, vol. 60, no. 9, pp. 2666–2672, 2010.
- K. Qin and Z. Hong, "On soft equality," Journal of Computational and Applied Mathematics, vol. 234, no. 5, pp. 1347–1355, 2010.
- H.-L. Yang and Z.-L.Guo, "Kernels and closures of soft set relations, and soft set relation mappings," Computers & Mathematics with Applications, vol. 61, no. 3, pp. 651–662, 2011.
- Y. B. Jun, K. J. Lee, and A. Khan, "Soft ordered semigroups," Mathematical Logic Quarterly, vol. 56, no. 1, pp. 42–50, 2010.
- U. Acar, F. Koyuncu, and B. Tanay, "Soft sets and soft rings," Computers & Mathematics with Applications, vol. 59, no. 11, pp. 3458–3463, 2010.
- F. Feng, Y. B. Jun, and X. Zhao, "Soft semirings," Computers & Mathematics with Applications, vol. 56, no. 10, pp. 2621–2628, 2008.
- Y. B. Jun, "Soft BCK/BCI-algebras," Computers & Mathematics with Applications, vol. 56, no. 5, pp. 1408–1413, 2008.
- P. K. Maji, R. Biswas, and A. R. Roy, "Fuzzy soft sets," Journal of Fuzzy Mathematics, vol. 9, no. 3, pp. 589–602, 2001.
- Anitha, N; Lambodharan, V. "selection coefficient using interval value fuzzy soft set". Advanced in Applied Mathematics-ICAAM2020 AIP conf. Proc, 2261, 030109-1-030109-7; https://doi.org/10.1063/5.0017234, published by AIP Publishing.
- A. R. Roy and P. K. Maji, "A fuzzy soft set theoretic approach to decision making problems," Journal of Computational and Applied Mathematics, vol. 203, no. 2, pp. 412–418, 2007.
- X. Yang, T. Y. Lin, J. Yang, Y. Li, and D. Yu, "Combination of interval-valued fuzzy set and soft set," Computers & Mathematics with Applications, vol. 58, no. 3, pp. 521–527, 2009.
