Conference Paper
BibTex RIS Cite

Year 2020, Volume: 3 Issue: 1, 191 - 197, 15.12.2020

Mohammad Yahya Abbası , Sabahat Ali Khan , Ahmad Raza

Abstract

References

  • 1 A. Adeel, N. Yaqoob, M. Akram, W. Chammam, Detection and severity of tumor cells by graded decision-making methods under fuzzy N-soft model, Journal of Intelligent & Fuzzy Systems, 9 (1) (2020), 1303–1318.
  • 2 M. Akram, N. Yaqoob, Intuitionistic fuzzy soft ordered ternary semigroups, International Journal of Pure and Applied Mathematics, 84(2) (2013), 93–107.
  • 3 H. Aktas, N. Cagman, Soft sets and soft groups, Inform. Sci., 177 (2007), 2726–2735.
  • 4 N.Cagman, S. Enginoglu, Soft set theory and uni-int decision making, Eur. J. Op. Res., 207 (2010), 848–855.
  • 5 N. Cagman, F. Citak, H. Aktas, Soft int-group and its applications to group theory, Neural Comput. Appl., 21 (2012), 151–158.
  • 6 P. Corsini, Prolegomena of hypergroup theory, Aviani editor, Second edition, (1993).
  • 7 V. Dasic, Hypernear rings, Proceedings of the Fourth International Congress on A. H. A., Xanthi, Greece, World Scientific, (1990), 75–85.
  • 8 B. Davvaz, V. L. Fotea, Hyperring Theory and Applications, International Academic Press, Palm Harber, Fla, USA (2007), 115.
  • 9 V. M. Gontineac, On hypernear rings and H-hypergroups, Proceedings of the Fifth International Congress on A. H. A., Jasi Rumania, Hadronic Press, Inc., (1993), 171–179.
  • 10 M. Gulistan, I. Beg, N. Yaqoob, A new approach in decision making problems under the environment of neutrosophic cubic soft matrices, Journal of Intelligent and Fuzzy Systems, 36(1) (2019), 295–307.
  • 11 A. Khan, M. Farooq, N. Yaqoob, Uni-soft structures applied to ordered Γ-semihypergroups, Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 90(3) (2020), 457–465.
  • 12 J.G. Lee, K.H. Kim, On fuzzy subhypernear-rings of hypernear-rings with t-norms, Journal of the Chungcheong Mathematical Society, 23(2)(2010), 237–243.
  • 13 F. Marty, Sur une generalization de la notion de group, 8th Congres Math. Scandinaves Stockholm, (1934), 45–49 .
  • 14 D. Molodtsov, Soft set theory-first results, Comput. Math. Appl., 37 (1999), 19–31.
  • 15 G. Pilz Near-rings, Noth-Holland, Publ Co., (1977).
  • 16 A. Sezgin, A. O. Atagun, N. Cagman, Soft intersection near-rings with its applications, Neural Comput & Applic., 21 (2012), 221–229.
  • 17 S. Yamak, O. Kazanci, B. Davvaz, Normal fuzzy hyperideals in hypernear-rings, Neural Comput & Applic., 20(2011), 25–30.
  • 18 N. Yaqoob, M. Akram, M. Aslam, Intuitionistic fuzzy soft groups induced by (t,s)-norm, Indian Journal of Science and Technology, 6(4) (2013), 4282–4289.
  • 19 J. Zhan, On properties of fuzzy hyperideals in hypernearrings with t-norms, J. Appl. Math. Comput., 20 (2006), 255–277.

Applications of Soft Intersection Sets in Hypernear Rings

Year 2020, Volume: 3 Issue: 1, 191 - 197, 15.12.2020

Mohammad Yahya Abbası , Sabahat Ali Khan , Ahmad Raza

Abstract

In this paper, we introduce soft intersection hypernear-ring and shows how a soft set effects on a hypernear-ring structure by means of intersection and insertion of sets. Further, we explore some properties using hypernear-ring theoretic concepts for soft sets. Moreover, we have defined the cross product of two soft intersection hypernear-rings. We proved that the cross product of two soft intersection hypernear-rings is a soft intersection hypernear-ring and the cross product of two soft intersection hyperideals is a soft intersection hyperideal.

Keywords

Hypernear-rings Soft intersection sets Soft intersection hyperideals

References

  • 1 A. Adeel, N. Yaqoob, M. Akram, W. Chammam, Detection and severity of tumor cells by graded decision-making methods under fuzzy N-soft model, Journal of Intelligent & Fuzzy Systems, 9 (1) (2020), 1303–1318.
  • 2 M. Akram, N. Yaqoob, Intuitionistic fuzzy soft ordered ternary semigroups, International Journal of Pure and Applied Mathematics, 84(2) (2013), 93–107.
  • 3 H. Aktas, N. Cagman, Soft sets and soft groups, Inform. Sci., 177 (2007), 2726–2735.
  • 4 N.Cagman, S. Enginoglu, Soft set theory and uni-int decision making, Eur. J. Op. Res., 207 (2010), 848–855.
  • 5 N. Cagman, F. Citak, H. Aktas, Soft int-group and its applications to group theory, Neural Comput. Appl., 21 (2012), 151–158.
  • 6 P. Corsini, Prolegomena of hypergroup theory, Aviani editor, Second edition, (1993).
  • 7 V. Dasic, Hypernear rings, Proceedings of the Fourth International Congress on A. H. A., Xanthi, Greece, World Scientific, (1990), 75–85.
  • 8 B. Davvaz, V. L. Fotea, Hyperring Theory and Applications, International Academic Press, Palm Harber, Fla, USA (2007), 115.
  • 9 V. M. Gontineac, On hypernear rings and H-hypergroups, Proceedings of the Fifth International Congress on A. H. A., Jasi Rumania, Hadronic Press, Inc., (1993), 171–179.
  • 10 M. Gulistan, I. Beg, N. Yaqoob, A new approach in decision making problems under the environment of neutrosophic cubic soft matrices, Journal of Intelligent and Fuzzy Systems, 36(1) (2019), 295–307.
  • 11 A. Khan, M. Farooq, N. Yaqoob, Uni-soft structures applied to ordered Γ-semihypergroups, Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 90(3) (2020), 457–465.
  • 12 J.G. Lee, K.H. Kim, On fuzzy subhypernear-rings of hypernear-rings with t-norms, Journal of the Chungcheong Mathematical Society, 23(2)(2010), 237–243.
  • 13 F. Marty, Sur une generalization de la notion de group, 8th Congres Math. Scandinaves Stockholm, (1934), 45–49 .
  • 14 D. Molodtsov, Soft set theory-first results, Comput. Math. Appl., 37 (1999), 19–31.
  • 15 G. Pilz Near-rings, Noth-Holland, Publ Co., (1977).
  • 16 A. Sezgin, A. O. Atagun, N. Cagman, Soft intersection near-rings with its applications, Neural Comput & Applic., 21 (2012), 221–229.
  • 17 S. Yamak, O. Kazanci, B. Davvaz, Normal fuzzy hyperideals in hypernear-rings, Neural Comput & Applic., 20(2011), 25–30.
  • 18 N. Yaqoob, M. Akram, M. Aslam, Intuitionistic fuzzy soft groups induced by (t,s)-norm, Indian Journal of Science and Technology, 6(4) (2013), 4282–4289.
  • 19 J. Zhan, On properties of fuzzy hyperideals in hypernearrings with t-norms, J. Appl. Math. Comput., 20 (2006), 255–277.
There are 19 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Mohammad Yahya Abbası 0000-0002-3283-1410

Sabahat Ali Khan 0000-0003-3833-1481

Ahmad Raza 0000-0001-5585-4431

Publication Date December 15, 2020
Acceptance Date October 4, 2020
Published in Issue Year 2020 Volume: 3 Issue: 1

Cite

APA Abbası, M. Y., Khan, S. A., & Raza, A. (2020). Applications of Soft Intersection Sets in Hypernear Rings. Conference Proceedings of Science and Technology, 3(1), 191-197.
AMA Abbası MY, Khan SA, Raza A. Applications of Soft Intersection Sets in Hypernear Rings. Conference Proceedings of Science and Technology. December 2020;3(1):191-197.
Chicago Abbası, Mohammad Yahya, Sabahat Ali Khan, and Ahmad Raza. “Applications of Soft Intersection Sets in Hypernear Rings”. Conference Proceedings of Science and Technology 3, no. 1 (December 2020): 191-97.
EndNote Abbası MY, Khan SA, Raza A (December 1, 2020) Applications of Soft Intersection Sets in Hypernear Rings. Conference Proceedings of Science and Technology 3 1 191–197.
IEEE M. Y. Abbası, S. A. Khan, and A. Raza, “Applications of Soft Intersection Sets in Hypernear Rings”, Conference Proceedings of Science and Technology, vol. 3, no. 1, pp. 191–197, 2020.
ISNAD Abbası, Mohammad Yahya et al. “Applications of Soft Intersection Sets in Hypernear Rings”. Conference Proceedings of Science and Technology 3/1 (December 2020), 191-197.
JAMA Abbası MY, Khan SA, Raza A. Applications of Soft Intersection Sets in Hypernear Rings. Conference Proceedings of Science and Technology. 2020;3:191–197.
MLA Abbası, Mohammad Yahya et al. “Applications of Soft Intersection Sets in Hypernear Rings”. Conference Proceedings of Science and Technology, vol. 3, no. 1, 2020, pp. 191-7.
Vancouver Abbası MY, Khan SA, Raza A. Applications of Soft Intersection Sets in Hypernear Rings. Conference Proceedings of Science and Technology. 2020;3(1):191-7.
 Download Cover Image