Similarities between powersets of terms

Eklund, Patrik; Galán, Maria A.; Medina, Jesús; Ojeda‐Aciego, Manuel; Valverde, Agustín

doi:10.1016/j.fss.2003.10.021

Cited by 11 publications

(5 citation statements)

References 21 publications

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“…A first step towards similarities between powersets of terms was done in [8] involving fuzzy relations for crisp powersets of terms. Using proof techniques presented in this paper, a range of interesting powerset functors can be further investigated.…”

Section: Discussionmentioning

confidence: 99%

Powersets of terms and composite monads

Eklund

Galán

Medina

et al. 2007

Fuzzy Sets and Systems

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Section: Discussionmentioning

confidence: 99%

Powersets of terms and composite monads

Eklund

Galán

Medina

et al. 2007

Fuzzy Sets and Systems

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“…The principal idea of the categorical approach was an observation that classical powerset objects constitute the so-called algebraic theory (or monad), introduced by E. G. M a n e s [19]. Roughly speaking, there exists an algebraic theory (in clone form) P = (P, η, ♦) in the category Set, where P(X) = 2 X (see [2]), such that the operator f → P : P(X) → P(Y ) induced from P by setting f → P = (η B • f )♦1 P(X) is the same as f → . Similarly can be derived the powerset operator f ← P .…”

Section: Jiří Močkořmentioning

confidence: 99%

“…Similarly can be derived the powerset operator f ← P . In this sense, an algebraic theory P generates the traditional powerset theory [2]. In the same manner as in the case of an algebraic theory P = (P, η, ♦), which generates powerset operators in the category Set, we can formally proceed in defining algebraic theory Z = (Z, μ, ) which defines powerset operators for Q-valued fuzzy sets, where Q is an appropriate lattice.…”

Section: Jiří Močkořmentioning

confidence: 99%

Closure theories of powerset theories

Močkǒ

2015

Tatra Mountains Mathematical Publications

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A notion of a closure theory of a powerset theory in a ground category is introduced as a generalization of a topology theory of a powerset theory. Using examples of powerset theories in the category Set of sets and in the category of sets with similarity relations, it is proved that these theories can be used as ground theories for closure theories of powerset theories in these two categories. Moreover, it is proved that all these closure theories of powerset theories are topological constructs. A notion of a closure operator which preserves a canonical form of fuzzy objects in these categories is introduced, and it is proved that a closure theory of a powerset theory in the ground category Set is a coreflective subcategory of the closure theory of (Zadeh’s) powerset theory, which preserves canonical forms of fuzzy sets.

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“…For RC i in RC RC Store GC max GCmax = max {ConceptSim (RCi, GCj), ConceptSim (RCi, GC 'j)} j RC i is the number i concept name term set from requested product empirical knowledge concepts (i.e., RC i = {RC 1 , RC 2 , ... , RC i }). Attribute Name Set Matching based on Multi-experts: This step involves executing the attribute name set matching based on multi-experts by employing the Power Set method [24,25]. Figure 23 illustrates the algorithm procedure.…”

Section: Attribute Name Set Matching Of Practical Knowledge Itemmentioning

confidence: 99%

Development of an Ontology-based Expert Recommendation System for Product Empirical Knowledge Consultation

Chen

2010

Concurrent Engineering

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Product lifecycle, a knowledge-intensive process, consists mainly of market analysis, product design and process development, product manufacturing, product distribution, product in use, post-sale service, and product recycling. Performing and achieving each activity or its supply chain activities require product empirical knowledge at different levels to resolve product-related problems or make certain decisions. However, effective consultation and sharing of tacit product empirical knowledge would greatly enhance product market competitiveness. Therefore, effectively and correctly sharing product empirical knowledge from domain experts in different organizations require developing an expert recommendation system for product empirical knowledge consultation, which is priority concern for product knowledge management. This study develops an expert recommendation system for product empirical knowledge consultation by using ontology to matchmaking of the required consultative experts quickly and correctly for the product empirical knowledge requester, thus sharing required product empirical knowledge by interpersonal communication to resolve product-related problems efficiently. The tasks involved in this study include: (i) designing an expert recommendation process for product empirical knowledge consultation, (ii) developing an expert recommendation method for product empirical knowledge consultation, and (iii) implementing an expert recommendation mechanism for product empirical knowledge consultation.

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Similarities between powersets of terms

Cited by 11 publications

References 21 publications

Powersets of terms and composite monads

Powersets of terms and composite monads

Closure theories of powerset theories

Development of an Ontology-based Expert Recommendation System for Product Empirical Knowledge Consultation

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