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Yıl 2020, Cilt: 3 Sayı: 1, 191 - 197, 15.12.2020
https://izlik.org/JA35WH35YW

Öz

Kaynakça

  • 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

Yıl 2020, Cilt: 3 Sayı: 1, 191 - 197, 15.12.2020
https://izlik.org/JA35WH35YW

Öz

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.

Kaynakça

  • 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.
Toplam 19 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Konferans Bildirisi
Yazarlar

Mohammad Yahya Abbası 0000-0002-3283-1410

Sabahat Ali Khan 0000-0003-3833-1481

Ahmad Raza 0000-0001-5585-4431

Kabul Tarihi 4 Ekim 2020
Yayımlanma Tarihi 15 Aralık 2020
IZ https://izlik.org/JA35WH35YW
Yayımlandığı Sayı Yıl 2020 Cilt: 3 Sayı: 1

Kaynak Göster

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. https://izlik.org/JA35WH35YW
AMA 1.Abbası MY, Khan SA, Raza A. Applications of Soft Intersection Sets in Hypernear Rings. Conference Proceedings of Science and Technology. 2020;3(1):191-197. https://izlik.org/JA35WH35YW
Chicago Abbası, Mohammad Yahya, Sabahat Ali Khan, ve Ahmad Raza. 2020. “Applications of Soft Intersection Sets in Hypernear Rings”. Conference Proceedings of Science and Technology 3 (1): 191-97. https://izlik.org/JA35WH35YW.
EndNote Abbası MY, Khan SA, Raza A (01 Aralık 2020) Applications of Soft Intersection Sets in Hypernear Rings. Conference Proceedings of Science and Technology 3 1 191–197.
IEEE [1]M. Y. Abbası, S. A. Khan, ve A. Raza, “Applications of Soft Intersection Sets in Hypernear Rings”, Conference Proceedings of Science and Technology, c. 3, sy 1, ss. 191–197, Ara. 2020, [çevrimiçi]. Erişim adresi: https://izlik.org/JA35WH35YW
ISNAD Abbası, Mohammad Yahya - Khan, Sabahat Ali - Raza, Ahmad. “Applications of Soft Intersection Sets in Hypernear Rings”. Conference Proceedings of Science and Technology 3/1 (01 Aralık 2020): 191-197. https://izlik.org/JA35WH35YW.
JAMA 1.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, vd. “Applications of Soft Intersection Sets in Hypernear Rings”. Conference Proceedings of Science and Technology, c. 3, sy 1, Aralık 2020, ss. 191-7, https://izlik.org/JA35WH35YW.
Vancouver 1.Abbası MY, Khan SA, Raza A. Applications of Soft Intersection Sets in Hypernear Rings. Conference Proceedings of Science and Technology [Internet]. 01 Aralık 2020;3(1):191-7. Erişim adresi: https://izlik.org/JA35WH35YW