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Reducing Fuzzy Answer Set Programming to Model Finding in Fuzzy Logics
[article]

2011
*
arXiv
*
pre-print

*In*recent years

*answer*

*set*

*programming*has been extended

*to*deal with multi-valued predicates. ...

*To*appear

*in*Theory and Practice of

*Logic*

*Programming*(TPLP). ... Acknowledgment The authors would like

*to*thank the anonymous reviewers for their useful suggestions and remarks. ...

##
###
Reducing fuzzy answer set programming to model finding in fuzzy logics

2011
*
Theory and Practice of Logic Programming
*

AbstractIn recent years,

doi:10.1017/s1471068411000093
fatcat:unnwhgj5ejgyvihdh2oe3l6ibq
*answer**set**programming*(ASP) has been extended*to*deal with multivalued predicates. ...*In*this paper, we show how this idea can be extended*to**fuzzy*ASP, paving the wayto implement efficient*fuzzy*ASP solvers that can take advantage of existing*fuzzy**logic*reasoners. ... Acknowledgment The authors would like*to*thank the anonymous reviewers for their useful suggestions and remarks. ...##
###
Fuzzy logic programming reduced to reasoning with attribute implications

2015
*
Fuzzy sets and systems (Print)
*

We present a link between two types of

doi:10.1016/j.fss.2014.04.013
fatcat:sbr7tegjizc45l45i4en7fcecq
*logic*systems for reasoning with graded if-then rules: the system of*fuzzy**logic**programming*(FLP)*in*sense of Vojtáš and the system of*fuzzy*attribute*logic*(FAL ... We further show that entailment*in*FLP is*reducible**to*reasoning with Boolean attribute implications and elaborate on related issues including properties of least*models*. ... Therefore, by*finding**fuzzy**logic**programs*corresponding*to**sets*of*fuzzy*attribute implications, one may introduce an alternative description of*fuzzy*concept lattices by*fuzzy**logic**programs*which we ...##
###
Fuzzy Answer Set Programming
[chapter]

2012
*
Answer Set Programming for Continuous Domains: A Fuzzy Logic Approach
*

From the

doi:10.2991/978-94-91216-59-6_3
fatcat:oqzn4dfxkncd3bs5m3oucm4ahy
*answer**set*semantics, FASP inherits the declarative nonmonotonic reasoning capabilities, while*fuzzy**logic*adds the power*to**model*continuous problems. ...*In*this chapter, we present a tutorial about*fuzzy**answer**set**programming*(FASP); we give a gentle introduction*to*its basic ideas and definitions. ...*Answer**set**programming*(ASP) [1] is a tool for*modeling*combinatorial search problems*in*a declarative way. It has its roots*in**logic**programming*and nonmonotonic reasoning. ...##
###
Fuzzy Answer Set Programming: An Introduction
[chapter]

2013
*
Studies in Fuzziness and Soft Computing
*

From the

doi:10.1007/978-3-642-34922-5_15
fatcat:sjdl5zq7znfujhvb45zvte4fhe
*answer**set*semantics, FASP inherits the declarative nonmonotonic reasoning capabilities, while*fuzzy**logic*adds the power*to**model*continuous problems. ...*In*this chapter, we present a tutorial about*fuzzy**answer**set**programming*(FASP); we give a gentle introduction*to*its basic ideas and definitions. ...*Answer**set**programming*(ASP) [1] is a tool for*modeling*combinatorial search problems*in*a declarative way. It has its roots*in**logic**programming*and nonmonotonic reasoning. ...##
###
Fuzzy Answer Set Programming
[chapter]

2006
*
Lecture Notes in Computer Science
*

From the

doi:10.1007/11853886_30
fatcat:rp5q3tsbmfb3hblmfalapiq2ce
*answer**set*semantics, FASP inherits the declarative nonmonotonic reasoning capabilities, while*fuzzy**logic*adds the power*to**model*continuous problems. ...*In*this chapter, we present a tutorial about*fuzzy**answer**set**programming*(FASP); we give a gentle introduction*to*its basic ideas and definitions. ...*Answer**set**programming*(ASP) [1] is a tool for*modeling*combinatorial search problems*in*a declarative way. It has its roots*in**logic**programming*and nonmonotonic reasoning. ...##
###
Solving Fuzzy Answer Set Programs in Product Logic

2017
*
Proceedings of the 9th International Joint Conference on Computational Intelligence
*

*modeling*partial truth (

*fuzzy*

*logic*). ...

*logic*, or yield only approximate

*answer*

*sets*. ... ACKNOWLEDGEMENTS The research reported

*in*this paper was supported by the grant UK/367/2017. ...

##
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On Coherence and Consistence in Fuzzy Answer Set Semantics for Residuated Logic Programs
[chapter]

2009
*
Lecture Notes in Computer Science
*

*In*this work we recall the first steps towards the definition of an

*answer*

*set*semantics for residuated

*logic*

*programs*with negation, and concentrate on the development of relationships between the notions ... For normal residuated

*logic*

*programs*, this definition

*reduces*

*to*that of stable

*set*. ... Let P be a coherent extended residuated

*logic*

*program*; the

*fuzzy*

*answer*

*set*of P is its least coherent

*model*of P. ...

##
###
Compiling Fuzzy Answer Set Programs to Fuzzy Propositional Theories
[chapter]

2008
*
Lecture Notes in Computer Science
*

We show how a

doi:10.1007/978-3-540-89982-2_34
fatcat:2vqqo2pgjngx3nigx4f6wdjlne
*fuzzy**answer**set**program*can be compiled*to*an equivalent*fuzzy*propositional theory whose*models*correspond*to*the*answer**sets*of the*program*. ... This creates a basis for constructing*fuzzy**answer**set*solvers, such as solvers based on*fuzzy*SAT-solvers or on linear*programming*. ... Let P be a FASP*program*. Then if the aggregator is representable*in**fuzzy*propositional*logic*, any y-*answer**set*of P is a*model*of Comp y (P ). ...##
###
Fuzzy autoepistemic logic and its relation to fuzzy answer set programming

2014
*
Fuzzy sets and systems (Print)
*

*In*this paper, we consider a version of

*fuzzy*

*answer*

*set*

*programming*and show that its

*answer*

*sets*can be equivalently described as

*models*

*in*

*fuzzy*autoepistemic

*logic*. ... Moreover, it is well known

*to*generalize the stable

*model*semantics of

*answer*

*set*

*programming*. ...

*In*[34] a correspondence between

*fuzzy*equilibrium

*logic*

*models*and

*answer*

*sets*of FASP

*programs*was shown. ...

##
###
Complexity of fuzzy answer set programming under Łukasiewicz semantics

2014
*
International Journal of Approximate Reasoning
*

*Fuzzy*

*answer*

*set*

*programming*(FASP) is a generalization of

*answer*

*set*

*programming*(ASP)

*in*which propositions are allowed

*to*be graded. ... Little is known about the computational complexity of FASP and almost no techniques are available

*to*compute the

*answer*

*sets*of a FASP

*program*. ... Π P

*to*

*find*the unique

*answer*

*set*. ...

##
###
Fuzzy logic based approaches for gene regulatory network inference
[article]

2018
*
arXiv
*
pre-print

The

arXiv:1804.10775v1
fatcat:ct4yxzdq45ebdobxdsuwb3zlmy
*fuzzy**logic*, along with its hybridization with other intelligent approach, is well studied*in*GRNI due*to*its several advantages. ...*In*this paper, we present a consolidated review on*fuzzy**logic*and its hybrid approaches for GRNI developed during last two decades. ...*Fuzzy**Answer**Set**Programming**Answer**Set**Programming*(ASP) is a declarative*programming*paradigm based on*answer**set*(stable*model*) semantics of*logic**programming*which is designed for difficult search ...##
###
Solving Disjunctive Fuzzy Answer Set Programs
[chapter]

2015
*
Lecture Notes in Computer Science
*

*Fuzzy*

*Answer*

*Set*

*Programming*(FASP) is an extension of the popular

*Answer*

*Set*

*Programming*(ASP) paradigm which is tailored for continuous domains. ... We first show that a large class of disjunctive FASP

*programs*called the self-reinforcing cycle-free (SRCF)

*programs*can be polynomially

*reduced*

*to*normal FASP

*programs*. ... Non-SRCF

*programs*For non-SRCF

*programs*,

*finding*an

*answer*

*set*

*in*L ∞ requires

*finding*an

*answer*

*set*I

*in*L k for some k ≥ 1, and checking whether I is also an

*answer*

*set*for L ∞ . ...

##
###
Modelling of Fuzzy Expert System for an Assessment of Security Information Management System UIS (University Information System)

2022
*
Tehnički Vjesnik
*

The

doi:10.17559/tv-20200721154801
fatcat:m2qeamrltnadzanfgenneyt4zy
*fuzzy**logic*method represents a new approach*to*the problems of managing complex systems, which is very difficult*to*describe with a certain mathematical*model*, as well as*in*systems with a large number ... We use the*fuzzy**logic*controller*to*execute*fuzzy*inference rules from the*fuzzy*rule database*in*determining congestion parameters, obtaining warning information and appropriate action. ...*To**find*the optimal number of rules, a special*program**in*Visual Basic was used*to*determine the rules. ...##
###
A Proposed Fuzzy Model for Diseases Diagnosis

2020
*
International Journal of Engineering and Advanced Technology
*

This paper proposes a

doi:10.35940/ijeat.c6419.029320
fatcat:qfqnghsgpjac5jjeh7gwmxcii4
*fuzzy**model*for a bone disease*to*have the right diagnosis*answer*, as a human expertise doctor. and*to*prove that using*fuzzy**logic*has a significant ability*to*mimic human thinking ... The*model*accepts inputs*in*the different forms as physiological and clinical parameters and all data based on medical expertise, using a rule-based*fuzzy*system approach applied with fourteen rules*to*...*In*view of these factors*find*that*fuzzy**logic*is providing a good solution*to*various data analytics problems. ...
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