Year 2016, Volume , Issue 14, Pages 37 - 45 2016-07-22

INTERSECTIONAL SOFT SETS IN ORDERED GROUPOIDS

Essam HAMOUDA [1]


In this note, the notions of soft int-ordered groupoids and soft left (resp., right) ideals are introduced. The characterization of int-soft ordered groupoids in terms of characteristic and inclusive sets is discussed. The concepts of soft prime ideals and soft int-filters are also introduced, and the relation between them is investigated.

Ordered groupoids, soft sets, int-soft filters, soft prime ideals
  • [1] H. Aktas, N. Cagman, Soft sets and soft groups, Inform. Sci. 177 (2007) 2726-2735.
  • [2] N. Cagman, F. C. Tak, H. Aktas, Soft int-group and its applications to group theory, Neural. Comput. Appl. 21(2012) 151-158.
  • [3] K. Kaygsz, On soft int-groups, Ann. Fuzzy Math. Inform. 4 (2) (2012). 365-375.
  • [4] N. Kehayopulu, On weakly commutative poe-semigroups, Semigroup Forum 34 (1987) 367– 370.
  • [5] N. Kehayopulu, On weakly prime ideals of ordered semigroups, Math. Japonica 35(1990) 1051–1056.
  • [6] N. Kehayopulu, M. Tsingelis, Fuzzy sets in ordered groupoids, Semigroup Forum 65(2002) 128 – 132.
  • [7] A. Khan, N. Sarmin, F. Khan, B. Davvaz, A study of fuzzy soft interior ideals of ordered semigroups, Iranian Journal of Science & Technology, 37A3: (2013) 237-249
  • [8] D. A. Molodtsov, Soft set theory first results, Computers and Mathematics with Applications 37 (1999) 19-31.
  • [9] A. Sezgin, A. Atagun, Soft groups and normalistic soft groups, Computers and Mathematics with Applications 62(2) (2011) 685-698.
  • [10] I. Simsek, N. Cagman, K. Kaygisiz, On normal soft intersection groups, Contemp. Analy. And Appl. Math.,Vol.2, No.2 ( 2014) 258-267.
  • [11] S. Song, H. Kim, Y. Jun, Ideal theory in semigroups based on intersectional soft sets, The Scientific World J. Vol.2014, Article ID136424, (2014) 7 pages.
  • [12] G. Sun, Y. Li, Y. Yin Y, New characterizations of regular ordered semigroups in terms of fuzzy soft ideals, Mathematica Aeterna, Vol. 3, , no.7 (2013) 545 – 554
  • [13] S. Yuksela, T. Dizman, G. Yildizdan, U. Sertc, Application of soft sets to diagnose the prostate cancer Risk, Journal of Inequalities and Applications 2013, 2013:229
  • [14] L. A. Zadeh, Fuzzy sets, Inf. Control 8 (1965) 338-353.
Journal Section Research Article
Authors

Author: Essam HAMOUDA
Country: Egypt


Dates

Publication Date : July 22, 2016

Bibtex @research article { jnt385297, journal = {Journal of New Theory}, issn = {2149-1402}, eissn = {2149-1402}, address = {Mathematics Department, Gaziosmanpasa University 60250 Tokat-TURKEY.}, publisher = {Gaziosmanpasa University}, year = {2016}, volume = {}, pages = {37 - 45}, doi = {}, title = {INTERSECTIONAL SOFT SETS IN ORDERED GROUPOIDS}, key = {cite}, author = {HAMOUDA, Essam} }
APA HAMOUDA, E . (2016). INTERSECTIONAL SOFT SETS IN ORDERED GROUPOIDS. Journal of New Theory , (14) , 37-45 . Retrieved from https://dergipark.org.tr/en/pub/jnt/issue/34513/385297
MLA HAMOUDA, E . "INTERSECTIONAL SOFT SETS IN ORDERED GROUPOIDS". Journal of New Theory (2016 ): 37-45 <https://dergipark.org.tr/en/pub/jnt/issue/34513/385297>
Chicago HAMOUDA, E . "INTERSECTIONAL SOFT SETS IN ORDERED GROUPOIDS". Journal of New Theory (2016 ): 37-45
RIS TY - JOUR T1 - INTERSECTIONAL SOFT SETS IN ORDERED GROUPOIDS AU - Essam HAMOUDA Y1 - 2016 PY - 2016 N1 - DO - T2 - Journal of New Theory JF - Journal JO - JOR SP - 37 EP - 45 VL - IS - 14 SN - 2149-1402-2149-1402 M3 - UR - Y2 - 2020 ER -
EndNote %0 Journal of New Theory INTERSECTIONAL SOFT SETS IN ORDERED GROUPOIDS %A Essam HAMOUDA %T INTERSECTIONAL SOFT SETS IN ORDERED GROUPOIDS %D 2016 %J Journal of New Theory %P 2149-1402-2149-1402 %V %N 14 %R %U
ISNAD HAMOUDA, Essam . "INTERSECTIONAL SOFT SETS IN ORDERED GROUPOIDS". Journal of New Theory / 14 (July 2016): 37-45 .
AMA HAMOUDA E . INTERSECTIONAL SOFT SETS IN ORDERED GROUPOIDS. JNT. 2016; (14): 37-45.
Vancouver HAMOUDA E . INTERSECTIONAL SOFT SETS IN ORDERED GROUPOIDS. Journal of New Theory. 2016; (14): 45-37.