Interval-valued intuitionistic (T, S)-fuzzy filters theory on residuated lattices

2013 ◽  
Vol 5 (5) ◽  
pp. 683-696 ◽  
Author(s):  
Yi Liu ◽  
Xiaoyan Qin ◽  
Yang Xu
Keyword(s):  
Residuated Lattices ◽  
Fuzzy Filters ◽  
Interval Valued

Triangle algebras: A formal logic approach to interval-valued residuated lattices

2008 ◽  
Vol 159 (9) ◽  
pp. 1042-1060 ◽  
Author(s):  
B. Van Gasse ◽  
C. Cornelis ◽  
G. Deschrijver ◽  
E.E. Kerre
Keyword(s):  
Residuated Lattices ◽  
Formal Logic ◽  
Logic Approach ◽  
Interval Valued

scholarly journals A characterization of interval-valued residuated lattices

2008 ◽  
Vol 49 (2) ◽  
pp. 478-487 ◽  
Author(s):  
B. Van Gasse ◽  
C. Cornelis ◽  
G. Deschrijver ◽  
E.E. Kerre
Keyword(s):  
Residuated Lattices ◽  
Interval Valued

scholarly journals Characterizations of Some Fuzzy Prefilters (Filters) inEQ-Algebras

2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
Xiao Long Xin ◽  
Peng Fei He ◽  
Yong Wei Yang
Keyword(s):  
Residuated Lattices ◽  
Fuzzy Filters

We introduce and study some types of fuzzy prefilters (filters) inEQ-algebras. First, we present several characterizations of fuzzy positive implicative prefilters (filters), fuzzy implicative prefilters (filters), and fuzzy fantastic prefilters (filters). Next, using their characterizations, we mainly consider the relationships among these special fuzzy filters. Particularly, we find some conditions under which a fuzzy implicative prefilter (filter) is equivalent to a fuzzy positive implicative prefilter (filter). As applications, we obtain some new results about classical filters inEQ-algebras and some related results about fuzzy filters in residuated lattices.

INTUITIONISTIC FUZZY FILTERS OF RESIDUATED LATTICES

2011 ◽  
Vol 07 (03) ◽  
pp. 499-513 ◽  
Author(s):  
SHOKOOFEH GHORBANI
Keyword(s):  
Fuzzy Sets ◽  
Complete Lattice ◽  
Residuated Lattice ◽  
Intuitionistic Fuzzy Sets ◽  
Residuated Lattices ◽  
Intuitionistic Fuzzy ◽  
Correspondence Theorem ◽  
Fuzzy Filters

In this paper, the concept of intuitionistic fuzzy sets is applied to residuated lattices. The notion of intuitionistic fuzzy filters of a residuated lattice is introduced and some related properties are investigated. The characterizations of intuitionistic fuzzy filters are obtained. We show that the set of all the intuitionistic fuzzy filters of a residuated lattice forms a complete lattice and we find the distributive sublattices of it. Finally, the correspondence theorem for intuitionistic fuzzy filters is established.

scholarly journals HAUSDORFF INTERVAL VALUED FUZZY FILTERS

2002 ◽  
Vol 39 (1) ◽  
pp. 137-148 ◽  
Author(s):  
P.V. Ramakrishinan ◽  
V. Lakshmana Gomathi Nayagam
Keyword(s):  
Fuzzy Filters ◽  
Interval Valued

scholarly journals A NEW VIEW OF FUZZY ORDERED SEMIGROUPS

2018 ◽  
Vol 1 (1) ◽  
pp. 9-17
Author(s):  
Hidayat Ullah Khan ◽  
Asghar Khan ◽  
Faiz Muhammad Khan ◽  
Amir Khan ◽  
Muhammad Taj
Keyword(s):  
Coding Theory ◽  
State Machines ◽  
Ordered Semigroup ◽  
Fuzzy Filter ◽  
Fuzzy Coding ◽  
Finite State ◽  
Fuzzy Subgroup ◽  
Characterization Theorems ◽  
Fuzzy Filters ◽  
Interval Valued

fuzzy coding theory, fuzzy finite state machines, and fuzzy languages. In this paper, we introduce the concept of an interval-valued -fuzzy filter of an ordered semigroup, where with. Since the concept of an interval-valued -fuzzy filter is an important and useful generalization of the ordinary interval-valued fuzzy filter, we discuss some fundamental aspects of an interval-valued -fuzzy filters. An interval-valued -fuzzy filter is a generalization of the existing concept of an interval-valued fuzzy filter. We discuss the concept of an interval-valued -fuzzy left (right)-filters and provide some characterization theorems. Finally, we extend the concept of an interval-valued fuzzy subgroup with thresholds to the concept of an interval-valued fuzzy left (right)-filter with thresholds of s.

Sign in / Sign up

Export Citation Format

Share Document