Filter theory in MTL-algebras based on Uni-soft property

نویسندگان

  • A.M. Al-roqi Department of Mathematics‎, ‎King Abdulaziz University‎, ‎P.O‎. ‎Box 80203 Jeddah 21589‎, ‎Saudi Arabia.
  • G. Muhiuddin Department of Mathematics‎, ‎University of Tabuk‎, ‎Tabuk 71491‎, ‎Saudi Arabia.
  • S. Aldhafeeri Department of Mathematics‎, ‎College of basic education‎, ‎Public authority for applied education and training‎, ‎Kuwait.
چکیده مقاله:

‎The notion of (Boolean) uni-soft filters‎ ‎in MTL-algebras is introduced‎, ‎and several properties of them are‎ ‎investigated‎. ‎Characterizations of (Boolean) uni-soft filters are discussed‎, ‎and some (necessary and sufficient) conditions‎ ‎for a uni-soft filter to be Boolean are provided‎. ‎The condensational property for a Boolean uni-soft filter is established.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Soft Ultra-Fılters and Soft G-Fılter of MTL-Algebras

The logic MTL, Monoidal t-norm based logic was presented by F. Estva and L. Godo and discuss several properties of MTL-algebra in [6] The Boolean logic (BL) was introduced by P. Hajek and discuss the properties in [1].The fuzzy reasoning and implication operators was discussed by Ying in ([2],[3]). A proper logical system for fuzzy propositional calculus and a innovative arithmetical configurat...

متن کامل

On Some Varieties of MTL-algebras

The study of perfect, local and bipartite IMTL-algebras presented in [29] is generalized in this paper to the general non-involutive case, i. e. to MTL-algebras. To this end we describe the radical of MTL-algebras and characterize perfect MTL-algebras as those for which the quotient by the radical is isomorphic to the two-element Boolean algebra, and a special class of bipartite MTL-algebras, B...

متن کامل

Some types of filters in MTL-algebras

The aim of this work is to introduce the concepts of IMTL-filters and strong MTL-filters in MTL-algebras and show that these filters are related to IMTL-algebras and strong MTL-algebras, respectively. We also introduce the concepts of EIMTL and associative filters in MTL-algebras. The relationships between these filters and quotient algebras that are constructed via these filters are described....

متن کامل

IDEALS OF PSEUDO MV-ALGEBRAS BASED ON VAGUE SET THEORY

The notion of vague ideals in pseudo MV-algebras is introduced,and several properties are investigated. Conditions for a vague set to be avague ideal are provided. Conditions for a vague ideal to be implicative aregiven. Characterizations of (implicative, prime) vague ideals are discussed.The smallest vague ideal containing a given vague set is established. Primeand implicative extension proper...

متن کامل

A Uni ed View on Filter Banks

An impressive variety of multirate lter banks evolved during the past twenty years. We present an algebraic approach that subsumes many concepts developed so far (e. g. multi lters, nonseparable multidimensional lter banks, cyclic lter banks, lter banks with values in nite elds, etc.). In our approach the signals and lters are viewed as elements of a group ring. We give necessary and su cient c...

متن کامل

GENERALIZED UNI-SOFT INTERIOR IDEALS IN ORDERED SEMIGROUPS

For all M,N∈P(U) such that M⊂N, we first introduced the definitions of (M,N)-uni-soft ideals and (M,N)-uni-soft interior ideals of an ordered semigroup and studied them. When M=∅ and N=U, we meet the ordinary soft ones. Then we proved that in regular and in intra-regular ordered semigroups the concept of (M,N)-uni-soft ideals and the (M,N)-uni-soft interior ideals coincide. Finally, we introduc...

متن کامل

منابع من

با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ذخیره در منابع من قبلا به منابع من ذحیره شده

{@ msg_add @}


عنوان ژورنال

دوره 43  شماره 7

صفحات  2293- 2306

تاریخ انتشار 2017-12-30

با دنبال کردن یک ژورنال هنگامی که شماره جدید این ژورنال منتشر می شود به شما از طریق ایمیل اطلاع داده می شود.

میزبانی شده توسط پلتفرم ابری doprax.com

copyright © 2015-2023