Available online at http://scik.org J. Math. Comput. Sci. 7 (2017), No. 2, 321-334 ISSN: 1927-5307 (L, M)-FUZZY SOFT QUASI- COINCIDENT NEIGHBORHOOD SPACES O. R. SAYED 1 , E. ELSANOUSY 2 , Y. H. RAGHP 2 , YONG CHAN KIM 3,∗ 1 Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Eygpt 2 Department of Mathematics, Faculty of Science, Sohag University, Sohag, 82524, Eygpt 3 Department of Mathematics, Gangneung-Wonju National University, Gangneung, 25457, Korea Copyright c  2017 Sayed, ElSanousy, Raghp and Kim. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract. In this paper, we introduce the concepts of (L, M)-fuzzy soft quasi-coincident neighborhood spaces and study their properties, where L be a completely distributive lattice with 0 and 1 elements and M be a strictly two-sided, commutative quantale lattice. Also, the relationships between these concepts were investigated. Fur- thermore, a characterization of LFS-continuous and LSN-mappings were given. Keywords: (L, M)-fuzzy soft topological spaces; (L, M)-fuzzy soft filter spaces; (L, M)-fuzzy soft quasi-coincident neighborhood spaces 2010 AMS Subject Classification: 54A40, 03E72, 03G10, 06A15. 1. Introduction In 1999, D. Molodtsov [29] introduced the theory of soft sets as a new mathematical tool for dealing with uncertainties. The soft set theory has been applied to many different fields ( [1],[2],[6],[7],[10],[11], [21],[27],[34],[45],[40],[46]). Later, few researches (see, for example, ∗ Corresponding author E-mail address: yck@gwnu.ac.kr Received November 27, 2016; Published March 1, 2017 321