Pełnotekstowe zasoby PLDML oraz innych baz dziedzinowych są już dostępne w nowej Bibliotece Nauki.
Zapraszamy na https://bibliotekanauki.pl

PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
2019 | 48 | 1 |

Tytuł artykułu

Positive Implicative Soju Ideals in BCK-Algebras

Treść / Zawartość

Warianty tytułu

Języki publikacji

EN

Abstrakty

EN
The notion of positive implicative soju ideal in BCK-algebra is introduced, and several properties are investigated. Relations between soju ideal and positive implicative soju ideal are considered, and characterizations of positive implicative soju ideal are established. Finally, extension property for positive implicative soju ideal is constructed.

Rocznik

Tom

48

Numer

1

Opis fizyczny

Daty

wydano
2019-03-30

Twórcy

  • School of Mathematics, Northwest University, Xi'an, China
  • Department of Mathematics, Shahid Beheshti University, Teheran, Iran
  • Department of Mathematics Education, Gyeongsang National University, Jinju, Korea

Bibliografia

  • U. Acar, F. Koyuncu and B. Tanay, Soft sets and soft rings, Computers & Mathematics with Applications 59 (2010), pp. 3458–3463.
  • M. Agarwal, K.K. Biswasa and M. Hanmandlu, Generalized intuitionistic fuzzy soft sets with applications in decision-making, Applied Soft Computing 13 (2013), pp. 3552–3566.
  • H. Aktas and N. Çağman, Soft sets and soft groups, Information Sciences 177 (2007), pp. 2726–2735.
  • K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), no. 1, pp. 87–96.
  • K. T. Atanassov, New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems 61 (1994), no. 2, pp. 137–142.
  • Z. Bashir, J. Wątróbski, T. Rashid, W. Salabun and J. Ali, Intuitionistic-fuzzy goals in Zero-Sum multi criteria matrix games, Symmetry 2017, 9, p. 158.
  • S. K. De, R. Biswas and A. R. Roy, An application of intuitionistic fuzzy sets in medical diagnosis, Fuzzy Sets and Systems 117 (2001), pp. 209–213.
  • F. Feng, Y. B. Jun and X. Zho, Soft semirings, Computers & Mathematics with Applications 56 (2008), pp. 2621–2628.
  • Y. Huang, BCI-algebra, Science Press, Beijing, 2006.
  • K. Iséki, On BCI-algebras, Mathematics Seminar Notes 8 (1980), pp. 125–130.
  • K. Iséki and S. Tanaka, An introduction to the theory of BCK-algebras, Mathematica Japonica 23 (1978), pp. 1–26.
  • Y. Jiang, Y. Tang and Q. Chen, An adjustable approach to intuitionistic fuzzy soft sets based decision making, Applied Mathematical Modelling 35 (2011), pp. 824–836.
  • Y. B. Jun, Soft BCK / BCI-algebras, Computers & Mathematics with Applications 56 (2008), pp. 1408–1413.
  • Y. B. Jun, Intuitionistic fuzzy finite switchboard state machines, Journal of Applied Mathematics and Computing 20 (2006), no. 1-2, pp. 315–325.
  • Y. B. Jun and K. H. Kim, Intuitionistic fuzzy ideals of BCK-algebras, International Journal of Mathematics and Mathematical Sciences 24 (2000), no. 12, pp. 839–849.
  • Y. B. Jun, K. J. Lee and J. Zhan, Soft p-ideals of soft BCI-algebras, Computers & Mathematics with Applications 58 (2009), pp. 2060–2068.
  • Y. B. Jun and C. H. Park, Applications of soft sets in ideal theory of BCK / BCI-algebras, Information Sciences 178 (2008), pp. 2466–2475.
  • Y. B. Jun, S. Z. Song and E. H. Roh, Soju structures with applications in BCK / BCI-algebras, Afrika Matematika (submitted).
  • P. K. Maji, A. R. Roy and R. Biswas, An application of soft sets in a decision making problem, Computers & Mathematics with Applications 44 (2002), pp. 1077–1083.
  • J. Meng and Y. B. Jun, BCK-algebras, Kyungmoonsa Co. Seoul, Korea 1994.
  • D. Molodtsov, Soft set theory-First results, Computers & Mathematics with Applications 37 (1999), pp. 19–31.
  • A. K. Srivastava and S. P. Tiwari, , Soft Computing 14 (2010), pp. 571–578.
  • M. Touqeer and N. Çağman, On some properties of p-ideals based on intuitionistic fuzzy sets, Cogent Mathematics (2016), 3: 1210001.
  • Z. Zhang, A rough set approach to intuitionistic fuzzy soft set based decision making, Applied Mathematical Modelling 36 (2012), pp. 4605–4633.

Typ dokumentu

Bibliografia

Identyfikatory

Identyfikator YADDA

bwmeta1.element.ojs-doi-10_18778_0138-0680_48_1_01
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.