A Study on Anti Fuzzy Interior Ideals of Ternary Semigroups

Authors

  • Essam H. Hamouda Department of basic Sciences, Faculty of industrial education, Beni-Suef University, Beni-Suef - Egypt

Keywords:

Ternary semigroups, anti fuzzy interior ideals, anti fuzzy characteristic interior ideals

Abstract

In this paper, we introduce the definitions of anti fuzzy interior ideal and anti fuzzy characteristic interior ideals in ternary semigroups. Also we investigate some of their basic properties

References

R. Biswas, Fuzzy subgroups and anti fuzzy subgroups, Fuzzy Sets and Systems 35 (1990) 121–124

S. Hong, Y. Jun and J. Meng, Fuzzy interior ideals in semigroups, Indian J. pure appl. Math. Vol. 26, 9, pp. 859-863, 1995.

W. K. Joeng, On anti fuzzy prime ideals in BCK-algebra, J. Chungcheong Math. Soc. 12, pp. 15-21, 1999.

S. Kar and P. Sarkar, fuzzy ideals of ternary semigroups, Fuzzy Inf. Eng. 2, pp. 181-193, 2012.

S. Kar and P. Sarkar, Fuzzy quasi-ideals and fuzzy bi-ideals of ternary semigroups, Annals of Fuzzy Mathematics and Informatics.Vol. 4,2,pp. 407- 423, 2012.

M. Khan and T. Asif, Characterizations of semigroups by their anti fuzzy ideals, J. of Mathematics Research. Vol.2, 3, pp. 134- 143, 2010.

M. Khan , M. Iqbal and M. Nouman, On anti fuzzy ideals in left almost semigroups, J. of Mathematics Research. Vol.2, 3 , pp. 203-210.

N. Kuroki, Fuzzy bi-ideals in semigroups, Comment. Math. Univ. St. Pauli 28, pp. 17-21 ,1979.

N. Kuroki, On fuzzy ideals and bi-ideals in semigroups, Fuzzy Sets and Systems, 5, pp. 203-215,1981.

N. Kuroki, Fuzzy semiprime ideals in semigroups, Fuzzy Sets and Systems 8, pp. 71-79, 1982.

N. Kuroki, On fuzzy semigroups, Inform. Sci. 53, pp. 203-236, 1991.

S. Lekkoksung , Fuzzy interior ideals in ordered ternary semigroups, Int. J. of Math Analysis, Vol. 5,41, pp. 2035-2039, 2011.

A. Rosenfeld, Fuzzy Groups, J. Math. Anal. Appl. 35 , pp. 512-517, 1971.

M. Santiago and S. Bala, Ternary semigroups, Semigroup Forum, 81 , pp. 380–388 , 2010.

M. Shabir and Y. Nawaz, Semigroups characterized by properties of their anti fuzzy ideals, J. of Advanced Research in Pure Mathematics, 3, pp. 42- 59, 2009.

M. Shabir and N. Rehman, Characterizations of ternary semigroups by their anti fuzzy ideals, Annals of Fuzzy Mathematics and Informatics, Vol. 2, 3, pp. 227-238, 2011.

L. A. Zadeh, Fuzzy sets, Inform. Control, 8 , pp. 338-353, 1965.

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Published

2014-06-15

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How to Cite

A Study on Anti Fuzzy Interior Ideals of Ternary Semigroups. (2014). Asian Journal of Fuzzy and Applied Mathematics, 2(3). https://ajouronline.com/index.php/AJFAM/article/view/1350

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