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Maji et al. [4] initiated the concept of fuzzy soft sets with some properties regarding fuzzy soft union, intersection, complement of a fuzzy soft set, De Morgan's law etc.
A generalized soft union ⋃ ˜ and a generalized soft product ⋂ ˜ of the family of the soft sets { F i } i ∈ I are defined as follows: 1. ⋃ ˜ i ∈ I F i = { ( p, ⋃ i ∈ I Λ F i ( p ) ) : p ∈ E }, 2.
We define a soft union ∪ ˜, a soft product ∩ ˜ and a soft difference ∖ ˜ of the soft sets F 1, F 2 as follows: 1. F 1 ∪ ˜ F 2 = { ( p, Λ F 1 ( p ) ∪ Λ F 2 ( p ) ) : p ∈ E }, 2.
Then, the soft interior of a soft set F B is denoted by F B °and is defined as the soft union of all soft open subsets of F B. Thus, F B °is the largest soft open set contained in F B. Theorem 2. Let ( F A, τ ~ ) Open image in new windowbe a soft topological space and F B, F C ⊆ ~ F A Open image in new window.
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(3) Finite soft unions of the soft closed sets are soft closed sets.
The soft-spoken Union coach's ejection was a bit of a mystery.
Conservatives often look with suspicion at Mr. Roh, a former labor lawyer who is considered soft on unions.
Professor Graham Walker, professor of political history at Queen's University Belfast and a Scot, said there was a danger that soft pro-union voters could be driven into the yes camp if the anti-independence campaign became too equated with its loyalist brand in Ulster.
If all goes according to plan, some of them will become landmarks where people can ponder and debate the legacy of the diminutive, soft-spoken union activist who became a Gandhi-like figure to millions of Americans, especially Mexican Americans.
By avoiding corporate and union soft money and, in some cases, being careful on the legal setup of the organization, some groups, election lawyers said, can raise unlimited sums and still run advertising that mentions candidates, though they are subject to additional disclosure.
The rules, the sponsors say, would seriously undermine provisions intended to eliminate the role in federal elections of unrestricted donations of soft money by unions, corporations and individuals.
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