Volume 65 | Issue 1 | Year 2019 | Article Id. IJMTT-V65I1P506 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I1P506
The notion of soft T-ideals and T-idealistic soft BCI-algebras is introduced and their basic properties are discussed. Relations between soft ideals and soft T-ideals of soft BCI-algebras are provided. Also idealistic soft BCI-algebras and T-idealistic soft BCI-algebras are being related. The intersection, union, “AND” operation and “OR” operation of soft T-ideals and T-idealistic soft BCI-algebras are established. Using soft sets, characterizations of (fuzzy) T-ideals in BCI-algebras are given. Relations between fuzzy T-ideals and T-idealistic soft BCI-algebras are discussed.
[1] M. A. Chaudhry, Weakly positive implicative and weakly implicative BCI-algebras, Math.Jpn. 35 (1990) 141-151.
[2] D. Chen, E. C. C. Tsang, D. S. Yeung and X. Wang, The parametrizationreduction of soft sets and its applications, Comput. Math. Appl. 49 (2005) 757-763.
[3] Y. S. Huang, BCI-algebras, Science Press, Beijing (2006).
[4] Y. B. Jun, Soft BCK/BCI-algebras, Comput. Math.Appl. 56 (2008) 1408-1413.
[5] Y. B. Jun and C. H. Park, Applications of soft sets in ideal theory of BCK/BCI-algebras, Inform. Sci. 178 (2008) 2466-2475.
[6] Y. L. Liu and J. Meng, On fuzzy q-ideals of BCI-algebras, J. Fuzzy Math. 8(2000) 873-881.
[7] Y. L. Liu, J. Meng, X. H. Zhang and Z. C. Yue, q-ideals and a-ideals in BCI- algebras, Southeast Asian Bull. Math.24 (2000) 243-253.
[8] P. K. Maji, R. Biswas and A. R. Roy, Soft set theory, Comput. Math.Appl. 45 (2003) 555- 562.
[9] P. K. Maji, A. R. Roy and R. Biswas, An application of soft sets in a decision making problem, Comput. Math.Appl. 44 (2002) 1077-1083.
[10] D. Molodtsov, Soft set theory - First results, Comput. Math. Appl. 37 (1999) 19-31.
[11] J. Meng and Y. B. Jun, BCK-algebras, KyungmoonSa Co. Seoul (1994).
[12] L. A. Zadeh, Fuzzy sets, Inform. Control 8 (1965) 338-353.
[13] Khalid HM, Ahmad B. Fuzzy H-ideals in BCI-algebras. Fuzzy Set Syst. 1999; 101: 153–8.
[14]Imai Y, Iseki K. On axioms of propositional calculi.XIV Proceedings of Japan.Academy.1966; 42: 19–22.
D.Jayalakshmi, G.Subbiah, "Soft T-ideals of Soft BCI-Algebras," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 1, pp. 31-39, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I1P506