FILTER THEORY IN MTL-ALGEBRAS BASED ON THE UNI-SOFT PROPERTY

G. Muhiuddin; A. M. Al-Roqi; S. Aldhafeeri

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FILTER THEORY IN MTL-ALGEBRAS BASED ON THE UNI-SOFT PROPERTY

Journal article

Peer reviewed

FILTER THEORY IN MTL-ALGEBRAS BASED ON THE UNI-SOFT PROPERTY

G. Muhiuddin, A. M. Al-Roqi and S. Aldhafeeri

Bulletin of the Iranian Mathematical Society, Vol.43(7), pp.2293-2306

01/12/2017

Abstract

Mathematics

Physical Sciences

Science & Technology

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.

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Title: FILTER THEORY IN MTL-ALGEBRAS BASED ON THE UNI-SOFT PROPERTY
Creators - without role: G. Muhiuddin - University of Tabuk
A. M. Al-Roqi - King Abdulaziz University
S. Aldhafeeri - Publ Author Appl Educ & Training, Dept Math, Coll Basic Educ, Kuwait, Kuwait
Publication Details: Bulletin of the Iranian Mathematical Society, Vol.43(7), pp.2293-2306
Publisher: Springer Nature
Number of pages: 14
Identifiers: 9933611308331
Academic Unit: University of Tabuk; King Abdulaziz University
Language: English
Resource Type: Journal article