Soft set theory applied to general algebras

• Autorzy: Dymek G. , Walendziak A.
• Języki publikacji: EN

Abstrakty

EN

The notions of a soft general algebra and a soft subalgebra are introduced and studied. The operations on them such as a restricted intersection, an extended intersection, a restricted union, a ^-intersection, a ˅-union and a cartesian product are established.

Słowa kluczowe

EN

soft set; soft general algebra; soft subalgebra

PL

algebra; logika

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2015
• Tom: Vol. 48, nr 1
• Strony: 13--20
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Dymek G.

• Institute of Mathematics and Computer Science The John Paul II Catholic University of Lublin, Konstantynów 1H, 20-708 Lublin, Poland

autor

Walendziak A.

• Institute of Mathematics and Physics Siedlce University of Natural Sciences and Humanities, 3 Maja 54, 08–110 Siedlce, Poland

Bibliografia

• [1] U. Acar, F. Koyuncu, B. Tanay, Soft sets and soft rings, Comput. Math. Appl. 59 (2010), 3458–3463.
• [2] H. Aktaş, N. Çağman, Soft sets and soft groups, Inform. Sci. 177 (2007), 2726–2735.
• [3] M. I. Ali, F. Feng, X. Liu, W. K. Min, M. Shabir, On some new operations in soft set theory, Comput. Math. Appl. 57 (2009), 1547–1553.
• [4] N. Çağman, S. Karataş, S. Enginoğlu,Soft topology, Comput. Math. Appl. 62 (2011), 351–358.
• [5] Y. Çelik, C. Ekiz, S. Yamak, A new view on soft rings, Hacet. J. Math. Stat. 40 (2011), 273–286.
• [6] F. Feng, Y. B. Jun, X. Zhao, Soft semirings, Comput. Math. Appl. 56 (2008), 2621–2628.
• [7] Y. Jang, Y. Tang, Q. Chen, J. Wang, S. Tang, Extending soft sets with description logics, Comput. Math. Appl. 59 (2010), 2087–2096.
• [8] Y. B. Jun, Soft BCK/BCI-algebras, Comput. Math. Appl. 56 (2008), 1408–1413.
• [9] Y. B. Jun, K. J. Lee, A. Khan, Soft ordered semigroups, Math. Logic Quart. 56 (2010), 42–50.
• [10] Y. B. Jun, C. H. Park, Applications of soft sets in Hilbert algebras, Iran. J. Fuzzy Syst. 6 (2009), 75–88.
• [11] O. Kazancı, Ş. Yılmaz, S. Yamak, Soft sets and soft BCH-algebras, Hacet. J. Math. Stat. 39 (2010), 205–217.
• [12] P. K. Maji, R. Biswas, A. R. Roy, Soft set theory, Comput. Math. Appl. 45 (2003), 555–562.
• [13] D. Molodtsov, Soft set theory – first results, Comput. Math. Appl. 37 (1999), 19–31.
• [14] R. Nagarajan, G. Meenambigai, An application of soft sets to lattices, Kragujevac J. Math. 35 (2011), 75–87.
• [15] K. Qin, Z. Hong, On soft equality, J. Comput. Appl. Math. 234 (2010), 1347–1355.