Fuzzy filters of BL-algebras

Liu, Lianzhen; Li, Kaitai

doi:10.1016/j.ins.2004.07.009

Cited by 89 publications

(60 citation statements)

References 10 publications

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“…This process results in a set of nodes with grades between zero and one, so it can naturally be interpreted as a fuzzy set. In fact, we prove that it is a fuzzy filter as defined in [8,16].…”

Section: Introductionmentioning

confidence: 95%

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Semantic Matching Strategies for Job Recruitment: A Comparison of New and Known Approaches

Rácz

Sali

Schewe

2016

Lecture Notes in Computer Science

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A profile describes a set of skills a person may have or a set of skills required for a particular job. Profile matching aims to determine how well a given profile fits to a requested profile. The research reported in this paper starts from exact matching measure of [21]. It is extended then by matching filters in ontology hierarchies, since profiles naturally determine filters in the subsumption relation. Next we take into consideration similarities between different skills that are not related by the subsumption relation. Finally, a totally different approach, probabilistic matching based on the maximum entropy model is analyzed. Abstract.A profile describes a set of skills a person may have or a set of skills required for a particular job. Profile matching aims to determine how well a given profile fits to a requested profile. The research reported in this paper starts from exact matching measure of [21]. It is extended then by matching filters in ontology hierarchies, since profiles naturally determine filters in the subsumption relation. Next we take into consideration similarities between different skills that are not related by the subsumption relation. Finally, a totally different approach, probabilistic matching based on the maximum entropy model is analyzed.

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Section: Introductionmentioning

confidence: 95%

“…For this reason, we describe a graph based approach to extend the applications and the offer. Then, we show that this approach corresponds to the definition of fuzzy filters [8,16]. Let G = (V, E) be a directed weighted graph where V is a finite non-empty set of nodes and …”

Section: Maximal Length Matchingmentioning

confidence: 99%

Semantic Matching Strategies for Job Recruitment: A Comparison of New and Known Approaches

Rácz

Sali

Schewe

2016

Lecture Notes in Computer Science

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“…Definition 2 [10,12,[15][16][17]21,24] A filter of a residuated lattice L = (L, ⊓, ⊔, * , ⇒,0, 1) is a non-empty subset F of L satisfying…”

Section: In This Papermentioning

confidence: 99%

Filters of residuated lattices and triangle algebras

Gasse

Deschrijver

Cornelis

et al. 2010

Information Sciences

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An important concept in the theory of residuated lattices and other algebraic structures used for formal fuzzy logic, is that of a filter. Filters can be used, amongst others, to define congruence relations. Specific kinds of filters include Boolean filters and prime filters.In this paper, we define several different filters of residuated lattices and triangle algebras and examine their mutual dependencies and connections. Triangle algebras characterize interval-valued residuated lattices.

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“…[27,28] characterized fuzzy positive implicative filters of lattice implication algebras. [15,16] further studied fuzzy filters of BL-algebras. Wang and Xin solved an open problem in pseudo BLalgebras between fuzzy normal and fuzzy Boolean filter [20].…”

Section: Introductionmentioning

confidence: 99%

On open problems based on fuzzy filters of pseudo BCK-algebras

Wang

Wan

Kai

et al. 2015

IFS

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Abstract. We study the properties and relations of fuzzy pseudo-filters of pseudo-BCK algebras. After we discuss the equivalent conditions of fuzzy normal pseudo-filter of pseudo-BCK algebra (pP), we propose fuzzy implicative pseudo-filter and its relation with fuzzy Boolean filter of (bounded) pseudo-BCK algebras (pP). Then two open problems: "In pseudo-BCK algebra or bounded pseudo-BCK algebra, Is the notion of implicative pseudo-filter equivalent to the notion of Boolean filter?" and "Prove or negate the following conclusion: A pseudo-BCK algebra is an implicative pseudo-BCK algebra if and only if every pseudo-filter of it is a Boolean filter(or an implicative pseudo-filter)" are partly solved.

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Fuzzy filters of BL-algebras

Cited by 89 publications

References 10 publications

Semantic Matching Strategies for Job Recruitment: A Comparison of New and Known Approaches

Semantic Matching Strategies for Job Recruitment: A Comparison of New and Known Approaches

Filters of residuated lattices and triangle algebras

On open problems based on fuzzy filters of pseudo BCK-algebras

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