In this paper, we have introduce the notion of anti fuzzy soft -semigroups, anti fuzzy soft -ideal, bi-ideal, interior ideal-regular, soft-regular anti fuzzy soft-regular and obtain some interesting properties results and discusse in this paper, {"references":["1.\tM. I. Ali, F. Feng, X. Y. Liu and M. Shabir, On some new operations in soft set theory, Comput. Math. Appl. 57 1547-1553, (2009). 2.\tV. Chinnadurai and K. Arulmozhi, Interval valued fuzzy soft semigroups, Annamalai University science journal 50 35-44 (2016). 3.\tChinram and Jirojkul, on bi-Gamma ideals in Gamma semigroups, songklanakarin sci .technol journal. 29, 231-234(2007). 4.\tP. Dheena and S. Coumaressane, Characterization of regular Gamma semigroups through fuzzy ideals, Iranian journal of fuzzy systems. 4(2), 57-68 (2007). 5.\tP. K. Maji, R. Biswas and R. Roy, Soft set theory, Comput7. Math. Appl. 45, 555-562 (2003). 6.\tD. Molodtsov, Soft set theory first results, Comput. Math. Appl. 37 19-31(1999). 7.\tMuhammad Ifran Ali, Muhammad Shabir and K.P. Shum, on soft ideals over semigroups, Southeast Asian Bulletion of Mathematics. 34, 595-610 (2010). 8.\tMuhammad Gulistan, Muhammad Aslam, Saleem Abdullah, Generalized anti fuzzy interior ideals in LA- semigroups, Applied Mathematics and information science letters an international journal. 2(3), 1-6 (2014). 9.\tT. Nagaish, Anti fuzzy bi- Gamma ideals in Gamma semigroups, International Journal of Algebra 5 (28), 1387-1394 (2011). 10.\tSamit kumar majumder, A study of Gamma semigroups in terms of anti fuzzy ideals, Mathematica Aeterna.1 (8)}, 529-536 (2011). 11.\tS. K Sardar, S. K Majumder and Pavel pal, Characterization of Gamma semigroups in terms of anti fuzzy ideals, Annals of fuzzy mathematics. 5(3), 463-473 (2013). 12.\tM. K. Sen and N. K Saha, On Gamma semigroup, I, Bull. Calcutta Math. Soc. 78, 180-186 (1986). 13.\tM. Shabir and Y.Nawaz, Semigroups characterized by the properties of anti fuzzy ideals, J. Adv. Res. Pure Math. 1 (3), 42-59 (2009). 14.\tSujit kumar Sardar, On Fuzzy Ideals in Gamma Semigroups, International Journal of Algebra. 3 (16), 775 -784 (2009). 15.\tThawhat changphas and Boonyen thongkam, on soft Gamma semigroups, Annals of fuzzy Mathematics and Informatics, 4(2), 217-223 (2012). 16.\tL. A Zadeh, Fuzzy sets Inform and control. 8, 338-353 (1965)."]}