scholarly journals On Intuitionistic Fuzzy Filters of Intuitionistic Fuzzy Coframes

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Rajesh K. Thumbakara
Keyword(s):  
Frame Theory ◽  
Fuzzy Filter ◽  
Intuitionistic Fuzzy ◽  
Open Set ◽  
Fuzzy Filters ◽  
The Given

Frame theory is the study of topology based on its open set lattice, and it was studied extensively by various authors. In this paper, we study quotients of intuitionistic fuzzy filters of an intuitionistic fuzzy coframe. The quotients of intuitionistic fuzzy filters are shown to be filters of the given intuitionistic fuzzy coframe. It is shown that the collection of all intuitionistic fuzzy filters of a coframe and the collection of all intutionistic fuzzy quotient filters of an intuitionistic fuzzy filter are coframes.

scholarly journals Generalizations of(∈,∈∨q)-Fuzzy Filters inR0-Algebras

2010 ◽  
Vol 2010 ◽  
pp. 1-19
Author(s):  
Young Bae Jun ◽  
Seok Zun Song ◽  
Jianming Zhan
Keyword(s):  
Fuzzy Filter ◽  
Fuzzy Filters

Generalizations of a part of the paper (Ma et al., 2009) are considered. As a generalization of an(∈,∈∨q)-fuzzy filter, the notion of an(∈,∈∨qk)-fuzzy filter is introduced, and its characterizations are provided. The implication-based fuzzy filters of anR0-algebra are discussed.

Hausdorffness on generalized intuitionistic fuzzy filters

2004 ◽  
Vol 168 (1-4) ◽  
pp. 95-110 ◽  
Author(s):  
Jin Han Park ◽  
Jin Keun Park
Keyword(s):  
Intuitionistic Fuzzy ◽  
Fuzzy Filters

Fuzzy filters of BE-algebras

2013 ◽  
Vol 63 (5) ◽  
Author(s):  
Grzegorz Dymek ◽  
Andrzej Walendziak
Keyword(s):  
Fuzzy Set ◽  
Fuzzy Filter ◽  
Fuzzy Filters

AbstractCharacterizations of fuzzy filters in a BE-algebra are established. Conditions for a fuzzy set to be a fuzzy filter are given. For a fuzzy set µ the least fuzzy filter containing µ is constructed. The homomorphic properties of fuzzy filters of a BE-algebra are provided. Finally, characterizations of Noetherian BE-algebras and Artinian BE-algebras via fuzzy filters are obtained.

INTUITIONISTIC FUZZY IDEALS AND INTUITIONISTIC FUZZY FILTERS OF TERNARY SEMIGROUPS

2020 ◽  
Vol 9 (11) ◽  
pp. 9535-9540
Author(s):  
N. Lalithamani ◽  
K. Prabakaran ◽  
R. Ramesh
Keyword(s):  
Basic Properties ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Filters

In this paper, we consider the intuitionistic fuzzification of ternary sub semigroups (left ideals, right ideals, lateral ideals, ideals) and intuitionistic fuzzification of left filters (right filters, lateral filters, filters) of ternary semigroups and investigate some of their basic properties.

Intuitionistic Fuzzy Filters for Noise Removal in Images

2016 ◽  
pp. 53-64
Author(s):  
C. Radhika ◽  
R. Parvathi ◽  
N. Karthikeyani Visalakshi
Keyword(s):  
Image Processing ◽  
Information Processing ◽  
Comparative Analysis ◽  
Noise Removal ◽  
Two Dimensional ◽  
Intuitionistic Fuzzy ◽  
Input And Output ◽  
Fuzzy Filters ◽  
Standard Techniques ◽  
Filtering Techniques

Image processing is any form of information processing in which both input and output are images. Most of the image processing involves in treating the image as two dimensional representations and applying standard techniques to it. Images contain lot of uncertainties and are fuzzy/vague in nature. Various fuzzy filtering techniques are defined for noise removal in image processing and these existing filters helps to enhance the image using only the membership values. Further, by incorporating intuitionistic fuzzy filters, vagueness and ambiguity are managed by taking the non-membership values also into consideration. In this paper, light is thrown on some important types of noise and a comparative analysis is done. This paper also presents the results of applying different noise types to an image and investigates the results of various intuitionistic fuzzy filtering techniques. A comparison is made on the results of all the techniques.

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.

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