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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  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
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
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
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
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
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
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
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 ...
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
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
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. ...
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
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
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
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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