Intuitionistic fuzzy translation of anti-intuitionistic fuzzy $T$-idelas of subtraction $BCK / BCI$-algebras
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DOI:
https://doi.org/10.26637/MJM0603/0034Abstract
In this paper, the conception of intuitionistic fuzzy translation to anti-intuitionistic fuzzy $T$-ideals in Subtraction $B C K / B C I$-algebras is introduced. The ideas of anti-intuitionistic fuzzy extensions andanti-intuitionistic fuzzy multiplications of anti-intuitionistic fuzzy $T$-ideals with several related propertiesare investigated. Also the relationships between intuitionistic fuzzy translations, intuitionisticfuzzy extensions and intuitionistic fuzzymultiplications of anti-intuitionistic fuzzy $T$-ideals are investigated.
Keywords:
anti-intuitionistic fuzzy T-ideal, anti-intuitionistic fuzzy translation, anti-intuitionistic fuzzy extension, Subtraction BCK/BCI – algebra, anti-intuitionistic fuzzy multiplicationMathematics Subject Classification:
Mathematics- Pages: 701-710
- Date Published: 01-07-2018
- Vol. 6 No. 03 (2018): Malaya Journal of Matematik (MJM)
K. Iseki, On BCI-algebras, Math. Seminar Notes (now Kobe Math. J.), 8(1)(1980), 125-130.
L. A. Zadeh, Fuzzy sets, Information and Control, $8(3)(1965), 338-353$.
K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1)(1986), 87-96.
H. M. Khalid and B. Ahmad, Fuzzy $H$-ideals in $B C I$ algebras, Fuzzy Sets and Systems, 101(1)(1999), 153158.
T. Senapati, M. Bhowmik, M. Pal and B. Davvaz, Atanassov's intuitionistic fuzzy translations of intuitionistic fuzzy subalgebras and ideals in $B C K / B C I$-algebras.
J. Zhan and Z. Tan, Characterization of doubt fuzzy Hideals in BCK-algebras, Soochow Journal of Mathematics, $29(3)(2003), 293-298$.
B. Satyanarayana, U. B. Madhavi and R. D. Prasad, onfoldness of intuitionistic fuzzy $H$-Ideals in $B C K$-algebras, International Mathematical Forum, 5(45)(2010), 22052221 .
O. Xi, Fuzzy BCK-algebras, Mathematica Japonica, $36(1991), 935-942$.
B. Ahmad, Fuzzy BCI-algebras, J. Fuzzy Math., 1(2)(1993), 445-452.
Y. L. Liu and J. Meng, Fuzzy ideals in $B C I$-algebras, Fuzzy Sets and Systems, 123(2)(2001), 227-237.
B. M. Schein, Difference semigroups, Communications in Algebra, 20(1992), 2153-21690
B. Zelinka, Subtraction semigroup, Mathematica Bohemica, 120(1995), 445-447.
Y. B. Jun, H. S. Kim and E. H. Roh, Ideal theory of subtraction algebras, Scientiae Mathematicae Japonica, 61(2005), 459-464.
Y. Ceven and M. A. Ozturk, Some results on subtraction algebra, Hacettepe Journal of Mathematics and Statistics, 38(3)(2009), 299-304.
Y. B. Jun, Translations of fuzzy ideals in $B C K / B C I-$ algebras, Hacettepe Journal of Mathematics and Statistics, 40(3)(2011), 349-358.
K. J. Lee and C. H. Park, Some questions on fuzzifications of ideals in subtraction algebras, Communications of the Korean Mathematical Society, 22(3)(2007), 359-363.
K. J. Lee, Y. B. Jun and M. I. Doh, Fuzzy translations and fuzzy multiplications of $B C K / B C I$-algebras, Communications of Korean Math.Soc., 24(3)(2009), 353-360.
C. Ragavan and A. Solairaj, Some new results on intuitionistic fuzzy $mathrm{H}$-ideal in $B C I$-algebra, Malaya journal of Matematik, 3(4)(2015), 563-579.
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