On Fuzzy Soft Sets

We further contribute to the properties of fuzzy soft sets as defined and studied in the work of Maji et al. ( 2001), Roy and Maji (2007), and Yang et al. (2007) and support them with examples and counterexamples. We improve Proposition 3.3 by Maji et al., (2001). Finally we define arbitrary fuzzy s...

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Main Authors: B. Ahmad, Athar Kharal
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:Advances in Fuzzy Systems
Online Access:http://dx.doi.org/10.1155/2009/586507
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author B. Ahmad
Athar Kharal
author_facet B. Ahmad
Athar Kharal
author_sort B. Ahmad
collection DOAJ
description We further contribute to the properties of fuzzy soft sets as defined and studied in the work of Maji et al. ( 2001), Roy and Maji (2007), and Yang et al. (2007) and support them with examples and counterexamples. We improve Proposition 3.3 by Maji et al., (2001). Finally we define arbitrary fuzzy soft union and fuzzy soft intersection and prove DeMorgan Inclusions and DeMorgan Laws in Fuzzy Soft Set Theory.
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series Advances in Fuzzy Systems
spelling doaj-art-0b7cf448c97a49de89ecfd6e2789d8122025-08-20T03:55:32ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2009-01-01200910.1155/2009/586507586507On Fuzzy Soft SetsB. Ahmad0Athar Kharal1Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, 60800 Multan, PakistanCentre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, 60800 Multan, PakistanWe further contribute to the properties of fuzzy soft sets as defined and studied in the work of Maji et al. ( 2001), Roy and Maji (2007), and Yang et al. (2007) and support them with examples and counterexamples. We improve Proposition 3.3 by Maji et al., (2001). Finally we define arbitrary fuzzy soft union and fuzzy soft intersection and prove DeMorgan Inclusions and DeMorgan Laws in Fuzzy Soft Set Theory.http://dx.doi.org/10.1155/2009/586507
spellingShingle B. Ahmad
Athar Kharal
On Fuzzy Soft Sets
Advances in Fuzzy Systems
title On Fuzzy Soft Sets
title_full On Fuzzy Soft Sets
title_fullStr On Fuzzy Soft Sets
title_full_unstemmed On Fuzzy Soft Sets
title_short On Fuzzy Soft Sets
title_sort on fuzzy soft sets
url http://dx.doi.org/10.1155/2009/586507
work_keys_str_mv AT bahmad onfuzzysoftsets
AT atharkharal onfuzzysoftsets