Some types of T-fuzzy filters in BL-algebras
عنوان مقاله: Some types of T-fuzzy filters in BL-algebras
شناسه ملی مقاله: CSCG02_175
منتشر شده در دومین کنفرانس ملی محاسبات نرم در سال 1396
شناسه ملی مقاله: CSCG02_175
منتشر شده در دومین کنفرانس ملی محاسبات نرم در سال 1396
مشخصات نویسندگان مقاله:
Mahmood Bakhshi - Department of Mathematics, University of Bojnord
خلاصه مقاله:
Mahmood Bakhshi - Department of Mathematics, University of Bojnord
Some types of fuzzy filters with respect to a t-norm, in a BL-algebra, are introduced such as quasi T-fuzzy filter, quasi T-fuzzy positive implicative filter, quasi T-fuzzy implicative filter and quasi T-fuzzy fantastic filter. Several properties are investigated and some equivalent conditions for these fuzzy filters are obtained. The relation among these concepts are investigated and it is proved that under suitable conditions the concepts of quasi T-fuzzy implicative filter (quasi fuzzy Boolean filter) and quasi T-fuzzy positive implicative filter are equivalent. Furthermore, it is proved that a quasi T-fuzzy filter in a BL-algebra is a quasi T-fuzzy implicative filter, a quasi T-fuzzy positive implicative filter, and a quasi T-fuzzy fantastic filter if and only if the quotient BL-algebra induced by it, is a Boolean algebra, a G¨odel algebra, and an MV-algebra, respectively
کلمات کلیدی: Many-Valued logics, BL-algebra, T-norm, T-fuzzy filter
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/696804/