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Fuzzy Prime And Anti Fuzzy Prime Implicative Filters Of Lattice Wajsberg Algebras

B.A. Mohideen, A. Ibrahim
2014 Journal of Mathematics and Computer Science  
In this paper, we introduce the concepts of a fuzzy prime and an anti fuzzy prime implicative filter of lattice W-algebras and discuss some of their properties.  ...  Acknowledgements The authors would like to thank the Editor-in Chief, editorial board members and referees for their valuable suggestions and comments.  ...  Font et al [3] introduced the definition of implicative filters and family of implicative filters in lattice W-algebra and investigated some of their properties.  ... 
doi:10.22436/jmcs.09.01.03 fatcat:iq44vqy75bhrde435znjfr5nmm

Closing and Opening based on discrete t-norms. Applications to natural Image Analysis

Manuel Gonzalez-Hidalgo, Sebastia Massanet
2011 Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-2011)  
Some experimental results concerning the Top-Hat transformations and the basic filters built from the opening and closing operators are presented.  ...  All the properties satisfied by nilpotent t-norms, even the generalized idempotence, hold too. After that, some experimental results, using comparative measures, on edge detection are showed.  ...  Bustince and his group of the Public University of Navarra for his kindly support.  ... 
doi:10.2991/eusflat.2011.107 dblp:conf/eusflat/HidalgoM11a fatcat:jwgpkkblffbb5hg4bnjgke34ny

Fuzzy Ordering Theory and Its Use in Filter Generalization

Kenneth E. Barner, Yao Nie, Wei An
2001 EURASIP Journal on Advances in Signal Processing  
Properties of these concepts are discussed and several previously defined filters are generalized by including fuzzy concepts.  ...  Simulation results are presented to show the advantages of these fuzzy filters over their crisp counterparts.  ...  Properties of fuzzy rank and fuzzy order statistic Reduction property. As the membership function spread decreases, fuzzy rank and order statistic reduce to their crisp counterparts.  ... 
doi:10.1155/s1110865701000312 fatcat:sizpasebcfacrbfqc5foh3uela

Folding Theory for Fantastic Filters in BL-Algebras

Celestin Lele
2011 International Journal of Artificial Life Research  
Finally, the author establishes the extension property for n-fold and fuzzy n-fold fantastic filters in BL-algebras.  ...  In this paper, the author examines the notion of n-fold fantastic and fuzzy n-fold fantastic filters in BLalgebras. Several characterizations of fuzzy n-fold fantastic filters are given.  ...  Finally, we give the extension property for n-fold and fuzzy n-fold fantastic filters in BL-algebras.  ... 
doi:10.4018/ijalr.2011100104 fatcat:getgrqqhmzat7duxiapqdadhau

Generalized fuzzy filters of R 0-algebras

Xueling Ma, Jianming Zhan, Yang Xu
2007 Soft Computing - A Fusion of Foundations, Methodologies and Applications  
By using this new idea, the notion of interval valued (∈, ∈ ∨q)-fuzzy filters in BL-algebras which is a generalization of fuzzy filters of BL-algebras, is defined, and related properties are investigated  ...  In particular, the concept of a fuzzy subgroup with thresholds is extended to the concept of an interval valued fuzzy filter with thresholds in BL-algebras.  ...  The authors are indebted to the referees for their giving valuable comments and suggestions to the paper.  ... 
doi:10.1007/s00500-007-0165-z fatcat:yq7loy3i3nbsbdk3ydc6xnpapa

Some types of generalized fuzzy filters of BL-algebras

Jianming Zhan, Yang Xu
2008 Computers and Mathematics with Applications  
Filter Interval valued (∈, ∈ ∨q)-fuzzy Boolean (implicative, positive implicative and fantastic) filter a b s t r a c t The aim of this paper is to introduce the notions of interval valued (∈, ∈ ∨q)-fuzzy  ...  Boolean (implicative, positive implicative and fantastic) filters in BL-algebras and to investigate some related properties.  ...  Province, China (D200729003 and D20082903).  ... 
doi:10.1016/j.camwa.2008.03.009 fatcat:k6xfzmc7efg7fiu7cqur5sm2du

Solutions to Open Problems on Fuzzy Filters ofBL-algebras

Wang Wei, Arsham Borumand Saeid
2014 International Journal of Computational Intelligence Systems  
By studying the equivalent conditions of fuzzy fantastic filter and fuzzy normal filter of BL-algebras, the relation between these two filters are revealed. Two open problems of BL-algebras, i.e.  ...  ,"Under what suitable condition a normal filter becomes a fantastic filter? " and " Under what suitable condition extension property for normal filter holds?  ...  In [ 3, 5, 6 ], the notions of prime filter, Boolean filter, implicative filters, normal filters, fantastic filters and positive implicative filters in BL-algebras were proposed, along with their properties  ... 
doi:10.1080/18756891.2014.963989 fatcat:mqasm7fhajedvm27zdi5s2xydq

Page 1651 of Mathematical Reviews Vol. , Issue 96c [page]

1996 Mathematical Reviews  
We study their properties and discuss the relationships between these concepts and relevant concepts in fuzzy topological spaces.  ...  Their various properties are systematically studied, and some equivalent theorems on these multifunctions are obtained.” 96¢:54005 54A40 04A72 Fang, Jin Ming Fuzzy less strongly semiopen sets and fuzzy  ... 

An answer to the Jun-Shim-Lele's open problem on the fuzzy filters

Yong Lin Liu, San Yang Liu, Yang Xu
2006 Journal of Applied Mathematics and Computing  
Furthermore, we give two properties of fuzzy filters of BCIalgebras which generalize some results of Jun, Shim and Lele.  ...  In this note, a negative answer to the open problem of Jun, Shim and Lele on fuzzy filters of BCI-algebras is given, a necessary and sufficient condition, under which the open problem has a positive answer  ...  Acknowledgements Authors would like to express their sincere thanks to the referees for their valuable suggestions and comments towards the improvement of this paper.  ... 
doi:10.1007/bf02896410 fatcat:3vcmmjm24felxooxk3asrohb4i

Intuitionistic fuzzy classes of implicative filters in RLW-algebras

Ibrahim A., Nirmala V.
2020 Malaya Journal of Matematik  
those properties with illustrations.  ...  The goal of this paper is propose the definitions of intuitionistic fuzzy positive, associative and fantastic implicative filters of a RLW -algebras (Residuated Lattice Wajsberg algebras), and to investigate  ...  fuzzy positive, associative and fantastic implicative filters of RLW-algebra and discussed some of their properties.  ... 
doi:10.26637/mjm0804/0052 fatcat:erudac73i5hl7ond3jhytu2lba

Page 1174 of Mathematical Reviews Vol. , Issue 2003B [page]

2003 Mathematical Reviews  
Together they constitute a three-part work on the unified subject of fuzzy T-neighbourhood spaces and their fuzzy T-proximities, where 7 stands for any continuous triangular norm.  ...  Their definition subsumes that of fuzzy proxim- ity due to G. Artico and R. Moresco [Fuzzy Sets and Systems 21 (1987), no. 1, 85-98; MR 87m:54016], as our Min-proximity.  ... 

Fuzzy Positive Implicative Filters of Hoops Based on Fuzzy Points

Rajab Ali Borzooei, Mona Aaly Kologani, Mahdi Sabet Kish, Young Bae Jun
2019 Mathematics  
In this paper, we introduce the notions of ( ∈ , ∈ ) -fuzzy positive implicative filters and ( ∈ , ∈ ∨ q ) -fuzzy positive implicative filters in hoops and investigate their properties.  ...  Fuzzy filters of hoops based on fuzzy points. Mathematics. 2019, 7, 430; doi:10.3390/math7050430] by using an ( ∈ , ∈ ) -fuzzy filter in hoop.  ...  Acknowledgments: The authors wish to thank the anonymous reviewers for their valuable suggestions. Conflicts of Interest: The authors declare no conflict of interest.  ... 
doi:10.3390/math7060566 fatcat:gynk4azdpffztoghqxgcodrese

Multichannel filters for image processing

K.N. Plataniotis, D. Androutsos, A.N. Venetsanopoulos
1997 Signal processing. Image communication  
Fuzzy aggregators are utilized to determine the weights in the proposed filter structure.  ...  New filters for multichannel image processing are introduced and analysed. The proposed methodology constitutes a unifying and powerful framework for multichannel signal processing.  ...  Consequently, a second objective of this paper is to examine aggregation operators, to analyse their properties and justify their applicability to the design of multichannel filters.  ... 
doi:10.1016/s0923-5965(96)00021-5 fatcat:jp7npv4lc5bkxb7p7dspjg6r24

Fuzzy metric space and applications in image processing

Nebojša Milan Ralević, University of Novi Sad, Faculty of Technical Sciences, Department of Fundamental Sciences. Novi Sad, Serbia, Marija Vidoje Paunović, Bratislav Dragoslav Iričanin, University of Kragujevac, Faculty of Hotel Management and Tourism in Vrnjačka Banja. Vrnjačka Banja, Serbia, University of Beograd, School of Electrical Engineering. Belgrade, Serbia
2020 Mathematica Montisnigri  
Recently, there has been renewed interest in some of their properties, which are further shown, these being polygonal inequality, and two new classes of functions have been shown to be regarded as fuzzy  ...  In this paper, the notions of fuzzy T-metric and fuzzy S-metric have been introduced, and then, examples of known fuzzy metrics are provided, as well as theorems that enable algorithms for putting up new  ...  The authors express their sincere gratitude to Prof.  ... 
doi:10.20948/mathmontis-2020-48-9 fatcat:p5rqnjsbu5hwxmi4hck2reb4iu

Page 925 of Mathematical Reviews Vol. , Issue 94b [page]

1994 Mathematical Reviews  
The main purpose of this theory is to characterize, as we do here, some properties of functions as being equivalent to their continuity with respect to certain fuzzy topologies on their domains and codomains  ...  (ET-MIL; Cairo) Fuzzy cores and their extensions. (English summary) Fuzzy Sets and Systems 57 (1993), no. 1, 85-101.  ... 
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