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General Fuzzy Answer Set Programs
[chapter]

2009
*
Lecture Notes in Computer Science
*

We introduce a unifying framework that entails most of the existing approaches to

doi:10.1007/978-3-642-02282-1_44
fatcat:4dtqxxe5hnanpmd4rqszpyf2jq
*fuzzy**answer**set**programming*. ... A number of*generalizations*of*answer**set**programming*have been proposed in the literature to deal with vagueness, uncertainty, and partial rule satisfaction. ... While we have only discussed our framework from a theoretical perspective, we intend to explore the use of expressive*fuzzy*SAT solvers to find k-*answer**sets*in practice,*generalizing*a technique proposed ...##
###
Logical Fuzzy Preferences
[article]

2013
*
arXiv
*
pre-print

We present a unified logical framework for representing and reasoning about both quantitative and qualitative preferences in

arXiv:1304.2797v1
fatcat:zifpamspnzex7lqigqrq3fuy6e
*fuzzy**answer**set**programming*, called*fuzzy**answer**set*optimization*programs*. ... We show the application of*fuzzy**answer**set*optimization*programs*to the course scheduling with*fuzzy*preferences problem. ... with*fuzzy**answer**set*semantics) is used as*fuzzy**answer**sets**generator*rules. ...##
###
Logical Fuzzy Optimization
[article]

2013
*
arXiv
*
pre-print

We present a logical framework to represent and reason about

arXiv:1304.2384v1
fatcat:36wwu35dvjenznjke3wm6zyxeu
*fuzzy*optimization problems based on*fuzzy**answer**set*optimization*programming*. ... We show the application of the proposed logical*fuzzy*optimization framework under the*fuzzy**answer**set*optimization*programming*to the*fuzzy*water allocation optimization problem. ... logic*program*with*fuzzy**answer**set*semantics) is used as*fuzzy**answer**sets**generator*rules. ...##
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Towards a Fuzzy Answer Set Semantics for Residuated Logic Programs

2008
*
2008 IEEE/WIC/ACM International Conference on Web Intelligence and Intelligent Agent Technology
*

In this work we introduce the first steps towards the definition of an

doi:10.1109/wiiat.2008.357
dblp:conf/iat/MadridO08
fatcat:4a4g7hdpuzeerc5l5agj6six54
*answer**set*semantics for residuated logic*programs*with negation. ... The definitions of*fuzzy*stable model for*general**program*and of*fuzzy**answer**set*for a coherent normal*program*are used in order to provide the more*general*definition of*fuzzy**answer**set*for an extended ... Therefore,*fuzzy*logic*programming*has become a target theory for a suitable*generalization*of*answer**set*semantics. ...##
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Fuzzy Answer Set Programming
[chapter]

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

FASP is a combination of

doi:10.2991/978-94-91216-59-6_3
fatcat:oqzn4dfxkncd3bs5m3oucm4ahy
*answer**set**programming*and*fuzzy*logics which has recently been proposed. ... Despite that very*general*connectives are allowed, the presented framework turns out to be an intuitive extension of*answer**set**programming*. ...*General**programs*and*answer**sets*In this section, we will*generalize*the definitions of ASP to arbitrary FASP*programs*. ...##
###
Fuzzy Answer Set Programming: An Introduction
[chapter]

2013
*
Studies in Fuzziness and Soft Computing
*

FASP is a combination of

doi:10.1007/978-3-642-34922-5_15
fatcat:sjdl5zq7znfujhvb45zvte4fhe
*answer**set**programming*and*fuzzy*logics which has recently been proposed. ... Despite that very*general*connectives are allowed, the presented framework turns out to be an intuitive extension of*answer**set**programming*. ...*General**programs*and*answer**sets*In this section, we will*generalize*the definitions of ASP to arbitrary FASP*programs*. ...##
###
Fuzzy Answer Set Programming
[chapter]

2006
*
Lecture Notes in Computer Science
*

FASP is a combination of

doi:10.1007/11853886_30
fatcat:rp5q3tsbmfb3hblmfalapiq2ce
*answer**set**programming*and*fuzzy*logics which has recently been proposed. ... Despite that very*general*connectives are allowed, the presented framework turns out to be an intuitive extension of*answer**set**programming*. ...*General**programs*and*answer**sets*In this section, we will*generalize*the definitions of ASP to arbitrary FASP*programs*. ...##
###
Answer Sets in a Fuzzy Equilibrium Logic
[chapter]

2009
*
Lecture Notes in Computer Science
*

*Fuzzy*

*answer*

*set*

*programming*, on the other hand, extends

*answer*

*set*

*programming*with the capability of modeling continuous systems. ... Since its introduction,

*answer*

*set*

*programming*has been

*generalized*in many directions, to cater to the needs of real-world applications. ... We can also show that

*fuzzy*equilibrium models

*generalize*the notion of

*answer*

*set*from

*fuzzy*

*answer*

*set*

*programs*to arbitrary

*sets*of

*fuzzy*formulas. Proposition 3. ...

##
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Fuzzy Autoepistemic Logic: Reflecting about Knowledge of Truth Degrees
[chapter]

2011
*
Lecture Notes in Computer Science
*

is preserved in the sense that

doi:10.1007/978-3-642-22152-1_52
fatcat:kc3crepsknerpm4fienzuxhmne
*fuzzy*autoepistemic logic*generalizes**fuzzy**answer**set**programming*. ... Moreover, it is well known to*generalize*the stable model semantics of*answer**set**programming*. ... Relation between*Fuzzy**Answer**Set**Programming*and*Fuzzy*Autoepistemic Logic Let us briefly recall the basic notion of a*fuzzy*version of*answer**set**programming*, which was recently proposed [10] . ...##
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Tightly Coupled Fuzzy Description Logic Programs under the Answer Set Semantics for the Semantic Web

2008
*
International Journal on Semantic Web and Information Systems (IJSWIS)
*

*answer*

*set*semantics with

*fuzzy*description logics. ... We present a novel approach to

*fuzzy*description logic

*programs*(or simply

*fuzzy*dl-

*programs*) under the

*answer*

*set*semantics, which is a tight integration of

*fuzzy*disjunctive logic

*programs*under the ... (a) Let I ⊆ HB Φ be any

*answer*

*set*of KB . That is, I is a minimal model of KB I = (L, P I ). In particular, (i) I |= L and (ii) I |= r for every r ∈ P I . ...

##
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Fuzzy Description Logic Programs under the Answer Set Semantics for the Semantic Web

2006
*
2006 Second International Conference on Rules and Rule Markup Languages for the Semantic Web (RuleML'06)
*

We then define the

doi:10.1109/ruleml.2006.12
dblp:conf/ruleml/Lukasiewicz06
fatcat:qorslyeshzfbhbqol5rclbc6dm
*answer**set*semantics of*general**fuzzy*dl-*programs*, and show in particular that all*answer**sets*of a*fuzzy*dlprogram are minimal models, and that the*answer**set*semantics of positive ... In this paper, we present an approach to*fuzzy*description logic*programs*under the*answer**set*semantics for the Semantic Web, which is an integration of description logics with nonmonotonic logic*programs*...*General**Fuzzy*DL-*Programs*We now define the*answer**set*semantics of*general**fuzzy*dl-*programs*KB , which is reduced to the least model semantics of positive*fuzzy*dl-*programs*. ...##
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Solving Fuzzy Answer Set Programs in Product Logic

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

logic, or yield only approximate

doi:10.5220/0006518303670372
dblp:conf/ijcci/Uhliarik17
fatcat:h5soko66cnhcxeupg6g4sro75q
*answer**sets*. ...*Fuzzy**answer**set**programming*(FASP) has emerged as a combination of a tool for non-monotonic reasoning and solving combinatorial problems (ASP) and a knowledge representation formalism that allows for ...*FUZZY**ANSWER**SET**PROGRAMMING*In this section we describe the syntax and semantics of*fuzzy**answer**set**programs*. ...##
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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

doi:10.1007/978-3-642-02282-1_8
fatcat:hgrbkqsep5e4re4irh2op4jbmu
*answer**set*semantics for residuated logic*programs*with negation, and concentrate on the development of relationships between the notions ... Now we are ready to introduce our notion of (*fuzzy*)*answer**set*for*general*residuated logic*program*. Definition 8. ...*Fuzzy**answer**sets*Once the concept of coherence has been presented, we can introduce the notion of*fuzzy**answer**set*for extended logic*programs*. ...##
###
Fuzzy autoepistemic logic and its relation to fuzzy answer set programming

2014
*
Fuzzy sets and systems (Print)
*

Moreover, it is well known to

doi:10.1016/j.fss.2012.09.012
fatcat:mfbvgiydovesrpruo2v5xn3avu
*generalize*the stable model semantics of*answer**set**programming*. ... We also define a*fuzzy*logic of minimal belief and negation-as-failure and use this as a tool to show that*fuzzy*autoepistemic logic*generalizes**fuzzy**answer**set**programming*. ...*Fuzzy**answer**set**programming*(FASP) (e.g. ...##
###
Ranking Services Using Fuzzy HEX Programs
[chapter]

2008
*
Lecture Notes in Computer Science
*

In this paper, we

doi:10.1007/978-3-540-88737-9_14
fatcat:yiiktryblfcjbgdgjjnuor2ada
*generalize*both HEX*programs*and*fuzzy*dl-*programs*to*fuzzy*HEX*programs*: a LP-based paradigm, supporting both*fuzziness*as well as reasoning with external sources. ... Two functional extensions of dl-*programs*are HEX*programs*and*fuzzy*dl-*programs*. ... Directions for Further Research As future work, we plan to develop a reasoner for*fuzzy*HEX*programs*based on the DLVHEX reasoner, using the translation of*fuzzy*HEX*programs*to HEX*programs*presented ...
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