Research Article

Some Results on Lattice (Anti-Lattice) Ordered Double Framed Soft Sets

Number: 29 December 30, 2019
  • Muhammad Khan
  • Tahir Bakhat
  • Muhammad Iftikhar *
EN

Some Results on Lattice (Anti-Lattice) Ordered Double Framed Soft Sets

Abstract

In this article, we generalised the notion of the lattice (anti-lattice) ordered soft sets and introduced the notion of the lattice (anti-lattice) ordered double framed soft sets and proved some results by applying the basic operations like union, intersection, union-product and intersection-product, etc. Further, by applying the operations of restricted union and restricted intersection, we elaborated the applications of lattice ordered double framed soft sets in algebraic structure.

Keywords

References

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  4. M. B. Gorzałczany, A Method of Inference in Approximate Reasoning Based on Interval-Valued Fuzzy Sets, Fuzzy Sets and Systems 21(1) (1987) 1-17.
  5. W. L. Gau, D. J. Buehrer, Vague Sets, IEEE Transactions on Systems, Man, and Cybernetics 23(2) (1993) 610-614.
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  7. D. Molodtsov, Soft Set Theory—First Results, Computers and Mathematics with Applications 37(4-5) (1999) 19-31.
  8. P. K. Maji, A. R. Roy, R. Biswas, An Application of Soft Sets in a Decision-Making Problem, Computers and Mathematics with Applications 44(8-9) (2002) 1077-1083.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Muhammad Khan This is me
Pakistan

Tahir Bakhat This is me
Pakistan

Muhammad Iftikhar * This is me
Pakistan

Publication Date

December 30, 2019

Submission Date

November 26, 2018

Acceptance Date

September 8, 2019

Published in Issue

Year 2019 Number: 29

APA
Khan, M., Bakhat, T., & Iftikhar, M. (2019). Some Results on Lattice (Anti-Lattice) Ordered Double Framed Soft Sets. Journal of New Theory, 29, 58-70. https://izlik.org/JA42LY99YE
AMA
1.Khan M, Bakhat T, Iftikhar M. Some Results on Lattice (Anti-Lattice) Ordered Double Framed Soft Sets. JNT. 2019;(29):58-70. https://izlik.org/JA42LY99YE
Chicago
Khan, Muhammad, Tahir Bakhat, and Muhammad Iftikhar. 2019. “Some Results on Lattice (Anti-Lattice) Ordered Double Framed Soft Sets”. Journal of New Theory, nos. 29: 58-70. https://izlik.org/JA42LY99YE.
EndNote
Khan M, Bakhat T, Iftikhar M (December 1, 2019) Some Results on Lattice (Anti-Lattice) Ordered Double Framed Soft Sets. Journal of New Theory 29 58–70.
IEEE
[1]M. Khan, T. Bakhat, and M. Iftikhar, “Some Results on Lattice (Anti-Lattice) Ordered Double Framed Soft Sets”, JNT, no. 29, pp. 58–70, Dec. 2019, [Online]. Available: https://izlik.org/JA42LY99YE
ISNAD
Khan, Muhammad - Bakhat, Tahir - Iftikhar, Muhammad. “Some Results on Lattice (Anti-Lattice) Ordered Double Framed Soft Sets”. Journal of New Theory. 29 (December 1, 2019): 58-70. https://izlik.org/JA42LY99YE.
JAMA
1.Khan M, Bakhat T, Iftikhar M. Some Results on Lattice (Anti-Lattice) Ordered Double Framed Soft Sets. JNT. 2019;:58–70.
MLA
Khan, Muhammad, et al. “Some Results on Lattice (Anti-Lattice) Ordered Double Framed Soft Sets”. Journal of New Theory, no. 29, Dec. 2019, pp. 58-70, https://izlik.org/JA42LY99YE.
Vancouver
1.Muhammad Khan, Tahir Bakhat, Muhammad Iftikhar. Some Results on Lattice (Anti-Lattice) Ordered Double Framed Soft Sets. JNT [Internet]. 2019 Dec. 1;(29):58-70. Available from: https://izlik.org/JA42LY99YE

 

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