Received 17 November 2008; Revised 28 February 2009; Accepted 5 June 2009 | B. Ahmad and Athar Kharal
This paper contributes to the study of fuzzy soft sets, building upon the work of Maji et al. (2001), Roy and Maji (2007), and Yang et al. (2007). The authors provide additional properties of fuzzy soft union and fuzzy soft intersection, supported by examples and counterexamples. They revise and improve Proposition 3.3 by Maji et al., and define arbitrary fuzzy soft union and intersection. The paper also proves DeMorgan Inclusions and DeMorgan Laws in the context of fuzzy soft set theory. The authors demonstrate that the DeMorgan Inclusions do not always hold and provide conditions under which they do. They further generalize these laws to arbitrary collections of fuzzy soft sets. The findings aim to enhance the understanding and application of fuzzy soft sets in various fields.This paper contributes to the study of fuzzy soft sets, building upon the work of Maji et al. (2001), Roy and Maji (2007), and Yang et al. (2007). The authors provide additional properties of fuzzy soft union and fuzzy soft intersection, supported by examples and counterexamples. They revise and improve Proposition 3.3 by Maji et al., and define arbitrary fuzzy soft union and intersection. The paper also proves DeMorgan Inclusions and DeMorgan Laws in the context of fuzzy soft set theory. The authors demonstrate that the DeMorgan Inclusions do not always hold and provide conditions under which they do. They further generalize these laws to arbitrary collections of fuzzy soft sets. The findings aim to enhance the understanding and application of fuzzy soft sets in various fields.