Some results in bipolar-valued fuzzy ordered AG-groupoids
Discussiones Mathematicae. General Algebra and Applications, Tome 32 (2012) no. 1, pp. 55-76.

Voir la notice de l'article provenant de la source Library of Science

In this paper, we introduce the concept of bipolar-valued fuzzification of ordered -groupoids and discuss some structural properties of bipolar-valued fuzzy two-sided ideals of an intra-regular ordered -groupoid.
Keywords: Ordered AG-groupoid, intra-regular ordered AG-groupoid, bipolar-valued fuzzy two-sided ideal, (strong) negative s-cut, (strong) positive t-cut
@article{DMGAA_2012_32_1_a2,
     author = {Faisal, - and Yaqoob, Naveed and Saeid, Arsham},
     title = {Some results in bipolar-valued fuzzy ordered {AG-groupoids}},
     journal = {Discussiones Mathematicae. General Algebra and Applications},
     pages = {55--76},
     publisher = {mathdoc},
     volume = {32},
     number = {1},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DMGAA_2012_32_1_a2/}
}
TY  - JOUR
AU  - Faisal, -
AU  - Yaqoob, Naveed
AU  - Saeid, Arsham
TI  - Some results in bipolar-valued fuzzy ordered AG-groupoids
JO  - Discussiones Mathematicae. General Algebra and Applications
PY  - 2012
SP  - 55
EP  - 76
VL  - 32
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DMGAA_2012_32_1_a2/
LA  - en
ID  - DMGAA_2012_32_1_a2
ER  - 
%0 Journal Article
%A Faisal, -
%A Yaqoob, Naveed
%A Saeid, Arsham
%T Some results in bipolar-valued fuzzy ordered AG-groupoids
%J Discussiones Mathematicae. General Algebra and Applications
%D 2012
%P 55-76
%V 32
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DMGAA_2012_32_1_a2/
%G en
%F DMGAA_2012_32_1_a2
Faisal, -; Yaqoob, Naveed; Saeid, Arsham. Some results in bipolar-valued fuzzy ordered AG-groupoids. Discussiones Mathematicae. General Algebra and Applications, Tome 32 (2012) no. 1, pp. 55-76. http://geodesic.mathdoc.fr/item/DMGAA_2012_32_1_a2/

[1] S. Abdullah, M. Aslam, N. Amin and T. Khan, Direct product of finite fuzzy subsets of LA-semigroups, Ann. Fuzzy Math. Inform. 3 (2) (2012), 281-292.

[2] M. Aslam, S. Abdullah and M. Maqsood, Bipolar fuzzy ideals in LA-semigroups, World Appl. Sci. J. 17 (12) (2012), 1769-1782.

[3] M. Aslam, S. Abdullah and N. Amin, Characterization of Γ-LA-semigroups by generalized fuzzy Γ-ideals, Int. J. Math. Stat. 11 (1) (2012), 29-50.

[4] A. Borumand Saeid, Bipolar-valued fuzzy BCK/BCI-algebras, World Appl. Sci. J. 7 (11) (2009), 1404-1411.

[5] Faisal, N. Yaqoob and A. Ghareeb, Left regular AG-groupoids in terms of fuzzy interior ideals, Afr. Mat. (in press). doi: 10.1007/s13370-012-0081-y

[6] Faisal, N. Yaqoob and K. Hila, On fuzzy (2,2)-regular ordered Γ-AG**-groupoids, U.P.B. Sci. Bull. Ser. A 74 (2) (2012), 87-104.

[7] P. Holgate, Groupoids satisfying a simple invertive law, The Math. Stud. 61 (1992), 101-106.

[8] M.A. Kazim and M. Naseeruddin, On almost semigroups, Aligarh Bull. Math. 2 (1972), 1-7.

[9] M. Khan and Faisal, On fuzzy ordered Abel-Grassmann's groupoids, J. Math. Res. 3 (2011), 27-40.

[10] M. Khan and Faisal, Intra-regular AG-groupoids characterized by their intuitionistic fuzzy ideals, J. Adv. Res. Dyn. Control. Syst. 2 (2011), 17-33.

[11] N. Kuroki, Fuzzy bi-ideals in semigroups, Comment. Math. Univ. St. Pauli 27 (1979), 17-21.

[12] K.M. Lee, Bi-polar-valued fuzzy sets and their operations, Proc. Int. Conf. Intel. Tech. Bangkok Thailand (2000), 307-312.

[13] K.M. Lee, Comparison of interval-valued fuzzy sets, intuitionistic fuzzy sets and bipolar-valued fuzzy sets, J. Korean Inst. Intel. Syst. 14 (2) (2004), 125-129. doi: 10.5391/JKIIS.2004.14.2.125

[14] Q. Mushtaq and S.M. Yusuf, On LA-semigroups, Aligarh. Bull. Math. 8 (1978), 65-70.

[15] Q. Mushtaq and S.M. Yusuf, On LA-semigroup defined by a commutative inverse semigroups, Math. Bech. 40 (1988), 59-62.

[16] M. Naseeruddin, Some studies in almost semigroups and flocks, Ph.D., thesis. Aligarh Muslim University, Aligarh, India, 1970.

[17] A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl. 35 (1971), 512-517. doi: 10.1016/0022-247X(71)90199-5

[18] N. Stevanović and P.V. Protić, Composition of Abel-Grassmann's 3-bands, Novi Sad J. Math. 2 (34) (2004), 175-182.

[19] X.Y. Xie and J. Tang, Fuzzy radicals and prime fuzzy ideals of ordered semigroups, Inform. Sci. 178 (2008), 4357-4374. doi:10.1016/j.ins.2008.07.006.

[20] N. Yaqoob, S. Abdullah, N. Rehman and M. Naeem, Roughness and fuzziness in ordered ternary semigroups, World Appl. Sci. J. 17 (12) (2012), 1683-1693.

[21] N. Yaqoob, Bipolar-valued fuzzy ideals in LA-semigroups, J. Adv. Stud. Topol. 3 (1) (2012), 60-71.

[22] N. Yaqoob and M. Aslam, Yao's generalized rough approximations in left almost semigroups, Ann. Fuzzy Math. Inform. 3 (1) (2012), 119-131.

[23] N. Yaqoob, Interval-valued intuitionistic fuzzy ideals of regular LA-semigroups, Thai J. Math. (in press).

[24] N. Yaqoob, R. Chinram, A. Ghareeb and M. Aslam, Left almost semigroups characterized by their interval valued fuzzy ideals, Afr. Mat. (in press). doi: 10.1007/s13370-011-0055-5

[25] L.A. Zadeh, Fuzzy sets, Inform. Control. 8 (1965), 338-353. doi: 10.1016/S0019-9958(65)90241-X