Fuzzy bipolar conditions of type &amp;#x201D;or else&amp;#x201D;

Liétard, Ludovic; Tamani, Nouredine; Rocacher, Daniel

doi:10.1109/fuzzy.2011.6007324

Cited by 20 publications

(25 citation statements)

References 8 publications

(13 reference statements)

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“…The same idea, applied in a different context, may be found in some earlier work of Bordogna and Pasi [3], Dubois and Prade [14] or Yager [41]. Recently, a lot of work has been done on the study of different interpretations of the 'and possibly' as well as its dual 'or at least' operators by Bosc, Pivert, Tamani, Hadjali (see, e.g., [8,28,9]) and by Dubois and Prade in this volume.…”

Section: Ranking In the Constraint-wish Approachmentioning

confidence: 90%

Constraint-Wish and Satisfied-Dissatisfied: An Overview of Two Approaches for Dealing with Bipolar Querying

Matthé

Nielandt

Zadrożny

et al. 2013

Flexible Approaches in Data, Information and Knowledge Management

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In recent years, there has been an increasing interest in dealing with user preferences in flexible database querying, expressing both positive and negative information in a heterogeneous way. This is what is usually referred to as bipolar database querying. Different frameworks have been introduced to deal with such bipolarity. In this chapter, an overview of two approaches is given. The first approach is based on mandatory and desired requirements. Hereby the complement of a mandatory requirement can be considered as a specification of what is not desired at all. So, mandatory requirements indirectly contribute to negative information (expressing what the user does not want to retrieve), whereas desired requirements can be seen as positive information (expressing what the user prefers to retrieve). The second approach is directly based on positive requirements (expressing what the user wants to retrieve), and negative requirements (expressing what the user does not want to retrieve). Both approaches use pairs of satisfaction degrees as the underlying framework but have different semantics, and thus also different operators for criteria evaluation, ranking, aggregation, etc.

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Section: Ranking In the Constraint-wish Approachmentioning

confidence: 90%

Constraint-Wish and Satisfied-Dissatisfied: An Overview of Two Approaches for Dealing with Bipolar Querying

Matthé

Nielandt

Zadrożny

et al. 2013

Flexible Approaches in Data, Information and Knowledge Management

View full text Add to dashboard Cite

show abstract

“…Several definitions have been proposed, cf. [6,18,7]. Let us consider for instance the definition from [18], which is recalled hereafter.…”

Section: Graded Inclusion Of Bipolar Fuzzy Relationsmentioning

confidence: 99%

“…[6,18,7]. Let us consider for instance the definition from [18], which is recalled hereafter. In [18], the negation of the fuzzy bipolar condition (C, W ) -meaning "C and if possible W " -is defined as a new type of fuzzy bipolar condition denoted by [¬C, ¬W ] where [E, F ] means "E or else F ".…”

Section: Graded Inclusion Of Bipolar Fuzzy Relationsmentioning

confidence: 99%

“…Let us consider for instance the definition from [18], which is recalled hereafter. In [18], the negation of the fuzzy bipolar condition (C, W ) -meaning "C and if possible W " -is defined as a new type of fuzzy bipolar condition denoted by [¬C, ¬W ] where [E, F ] means "E or else F ". In this case, the positive pole E specifies perfect values and the negative pole F specifies acceptable ones (any element that does not satisfy F is discarded).…”

Section: Graded Inclusion Of Bipolar Fuzzy Relationsmentioning

confidence: 99%

“…does not hold with the definition of the negation from [18]. For this axiom to be valid, one would have to have:…”

Section: Propertiesmentioning

confidence: 99%

See 2 more Smart Citations

On a Graded Inclusion of Bipolar Fuzzy Relations

Liétard

Pivert

Rocacher

2013

Proceedings of the 8th Conference of the European Society for Fuzzy Logic and Technology

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This paper deals with database fuzzy queries in the context where the fuzzy preference conditions involved are of a bipolar nature (the first pole corresponding to a constraint, the second to a wish). More precisely, we consider queries where an inclusion-based condition comes into play (a typical example being a division query). Due to the fact that bipolar fuzzy queries entail using a framework where bipolar fuzzy relations are handled, we are led to defining generalized inclusion indicators in this context. This paper proposes an interpretation of such indicators and investigates their properties as well as their practical use in a database querying context.

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The Formalization of Asymmetry in Disjunctive Evaluation

Hudec

Mesiar

2020

Information Processing and Management of Uncertainty in Knowledge-Based Systems

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The main property of disjunction is substitutability, i.e., the fully satisfied predicate substitutes the rejected one. But, in many realworld cases disjunction is expressed as the fusion of full and optional alternatives, which is expressed as OR ELSE connective. Generally, this logical connective provides a solution lower than or equal to the MAX operator, and higher than or equal to the projection of the full alternative, i.e., the solution does not go below any averaging function and above MAX function. Therefore, the optional alternative does not influence the solution when it is satisfied with a degree lower than the degree of full alternative. In this work, we propose further generalization by other disjunctive functions in order to allow upward reinforcement of asymmetric disjunction. Finally, the obtained results are illustrated and discussed.

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Fuzzy bipolar conditions of type ”or else”

Cited by 20 publications

References 8 publications

Constraint-Wish and Satisfied-Dissatisfied: An Overview of Two Approaches for Dealing with Bipolar Querying

Constraint-Wish and Satisfied-Dissatisfied: An Overview of Two Approaches for Dealing with Bipolar Querying

On a Graded Inclusion of Bipolar Fuzzy Relations

The Formalization of Asymmetry in Disjunctive Evaluation

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