fuzzy-dl-owl2 1.0.2

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Fuzzy DL OWL 2

A python porting of the Fuzzy Description Language (see https://www.umbertostraccia.it/cs/software/fuzzyDL/fuzzyDL.html) and the Fuzzy OWL 2 framework (see https://www.umbertostraccia.it/cs/software/FuzzyOWL/index.html).

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A lightweight Python porting of the Fuzzy Description Language (FuzzyDL) and the Fuzzy OWL 2 framework, designed for representing fuzzy logic within description logic and for mapping an knowledge base represented in FuzzyDL to a Fuzzy OWL 2 construct in RDF/XML format.

Features:

• Object-oriented representation of Fuzzy Description Logic elements
• Object-oriented representation of Fuzzy OWL 2 elements
• Mapping from FuzzyDL to Fuzzy OWL 2
• Mapping from Fuzzy OWL 2 to FuzzyDL
• Reasoning in FuzzyDL

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Installation

pip install fuzzy-dl-owl2

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Examples of supported Fuzzy Description Logic Constructs

Python Class	Description
AtomicConcept	Define an atomic concept
ChoquetIntegral	Define a choquet integral concept
ApproximationConcept	Define a tight/upper/* lower/upper approximation concept

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Directory dl-examples

The directory dl-examples contains a few examples of Knowledge Bases written using the Fuzzy Description Logic language.

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Configuration of the MILP solver

Since version 1.0.1 uses Gurobi Optimizer (see gurobipy= for the Fuzzy DL reasoning, please create a GUROBI license to use this library.

For the configuration, create a CONFIG.ini file in the same directory used for the execution of the library. Example of your execution directory:

your_directory
├── CONFIG.ini
├── your_file.py

The file CONFIG.ini is structured as follows:

[DEFAULT]
debugPrint = False
relaxMilp = False
epsilon = 0.001
maxIndividuals = -1
showVersion = False
author = False

Configuration Variable	Description
debugPrint	Enable/disable debugging
relaxMilp	Enable/disable MILP constraint relaxation. Important: The solution may be wrong by enabling this flag
epsilon	Define the precision of the solution. For instance, epsilon = 0.001 means that the solution will be calculated with an accuracy to the third decimal place
maxIndividuals	Define the maximal number of individuals to handle. The value -1 indicate that there is no maximum
showVersion	Enable/disable the version print of the library
author	Enable/disable the author print of the library

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Usage - Reasoning

Knowledge base in example.fdl

(define-fuzzy-logic lukasiewicz)
(define-modifier very linear-modifier(0.8))
(define-fuzzy-concept eq243 crisp(0, 400, 243, 243))
(define-fuzzy-concept geq300 crisp(0, 400, 300, 400))
(define-fuzzy-concept High right-shoulder(0, 400, 180, 250))
(define-concept SportCar (and Car (some speed (very High))))
(instance ferrari (and Car (some speed geq300)) 1)
(instance audi (and Car (some speed eq243)) 1)

(min-instance? audi SportCar)

Python code

from fuzzy_dl_owl2 import DLParser

DLParser.main("./example.fdl")  # "Is audi instance of SportCar ? >= 0.92"

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Usage - Fuzzy OWL 2

From *.fdl to *.owl

from fuzzy_dl_owl2 import FuzzydlToOwl2

fdl = FuzzydlToOwl2("./example.fdl", "example.owl")
fdl.run()  # save example.owl in the subdirectory "./results"

From *.owl to *.fdl

from fuzzy_dl_owl2 import FuzzyOwl2ToFuzzyDL

fdl = FuzzyOwl2ToFuzzyDL("./results/example.owl", "example.fdl")
fdl.translate_owl2ontology()  # save example.fdl in the subdirectory "./results"

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Project Structure

fuzzy_dl_owl2
├── __init__.py
├── fuzzydl
│   ├── __init__.py
│   ├── assertion
│   │   ├── __init__.py
│   │   ├── assertion.py
│   │   └── atomic_assertion.py
│   ├── concept
│   │   ├── __init__.py
│   │   ├── all_some_concept.py
│   │   ├── approximation_concept.py
│   │   ├── atomic_concept.py
│   │   ├── choquet_integral.py
│   │   ├── concept.py
│   │   ├── concrete
│   │   │   ├── __init__.py
│   │   │   ├── crisp_concrete_concept.py
│   │   │   ├── fuzzy_concrete_concept.py
│   │   │   ├── fuzzy_number
│   │   │   │   ├── __init__.py
│   │   │   │   └── triangular_fuzzy_number.py
│   │   │   ├── left_concrete_concept.py
│   │   │   ├── linear_concrete_concept.py
│   │   │   ├── modified_concrete_concept.py
│   │   │   ├── right_concrete_concept.py
│   │   │   ├── trapezoidal_concrete_concept.py
│   │   │   └── triangular_concrete_concept.py
│   │   ├── ext_threshold_concept.py
│   │   ├── has_value_concept.py
│   │   ├── implies_concept.py
│   │   ├── interface
│   │   │   ├── __init__.py
│   │   │   ├── has_concept_interface.py
│   │   │   ├── has_concepts_interface.py
│   │   │   ├── has_role_concept_interface.py
│   │   │   ├── has_role_interface.py
│   │   │   ├── has_value_interface.py
│   │   │   └── has_weighted_concepts_interface.py
│   │   ├── modified
│   │   │   ├── __init__.py
│   │   │   ├── linearly_modified_concept.py
│   │   │   ├── modified_concept.py
│   │   │   └── triangularly_modified_concept.py
│   │   ├── negated_nominal.py
│   │   ├── operator_concept.py
│   │   ├── owa_concept.py
│   │   ├── qowa_concept.py
│   │   ├── quasi_sugeno_integral.py
│   │   ├── self_concept.py
│   │   ├── string_concept.py
│   │   ├── sugeno_integral.py
│   │   ├── threshold_concept.py
│   │   ├── truth_concept.py
│   │   ├── value_concept.py
│   │   ├── weighted_concept.py
│   │   ├── weighted_max_concept.py
│   │   ├── weighted_min_concept.py
│   │   ├── weighted_sum_concept.py
│   │   └── weighted_sum_zero_concept.py
│   ├── concept_equivalence.py
│   ├── concrete_feature.py
│   ├── degree
│   │   ├── __init__.py
│   │   ├── degree_expression.py
│   │   ├── degree_numeric.py
│   │   ├── degree_variable.py
│   │   └── degree.py
│   ├── domain_axiom.py
│   ├── exception
│   │   ├── __init__.py
│   │   ├── fuzzy_ontology_exception.py
│   │   └── inconsistent_ontology_exception.py
│   ├── feature_function.py
│   ├── fuzzydl_to_owl2.py
│   ├── general_concept_inclusion.py
│   ├── individual
│   │   ├── __init__.py
│   │   ├── created_individual.py
│   │   ├── individual.py
│   │   └── representative_individual.py
│   ├── knowledge_base.py
│   ├── label.py
│   ├── milp
│   │   ├── __init__.py
│   │   ├── expression.py
│   │   ├── inequation.py
│   │   ├── milp_helper.py
│   │   ├── show_variables_helper.py
│   │   ├── solution.py
│   │   ├── term.py
│   │   └── variable.py
│   ├── modifier
│   │   ├── __init__.py
│   │   ├── linear_modifier.py
│   │   ├── modifier.py
│   │   └── triangular_modifier.py
│   ├── parser
│   │   ├── __init__.py
│   │   ├── dl_parser.py
│   │   ├── ebnf.lark
│   │   ├── larkx.py
│   │   └── ParserConstants.py
│   ├── primitive_concept_definition.py
│   ├── query
│   │   ├── __init__.py
│   │   ├── all_instances_query.py
│   │   ├── bnp_query.py
│   │   ├── defuzzify
│   │   │   ├── __init__.py
│   │   │   ├── defuzzify_query.py
│   │   │   ├── lom_defuzzify_query.py
│   │   │   ├── mom_defuzzify_query.py
│   │   │   └── som_defuzzify_query.py
│   │   ├── instance_query.py
│   │   ├── kb_satisfiable_query.py
│   │   ├── max
│   │   │   ├── __init__.py
│   │   │   ├── max_instance_query.py
│   │   │   ├── max_query.py
│   │   │   ├── max_related_query.py
│   │   │   ├── max_satisfiable_query.py
│   │   │   └── max_subsumes_query.py
│   │   ├── min
│   │   │   ├── __init__.py
│   │   │   ├── min_instance_query.py
│   │   │   ├── min_query.py
│   │   │   ├── min_related_query.py
│   │   │   ├── min_satisfiable_query.py
│   │   │   └── min_subsumes_query.py
│   │   ├── query.py
│   │   ├── related_query.py
│   │   ├── satisfiable_query.py
│   │   └── subsumption_query.py
│   ├── range_axiom.py
│   ├── relation.py
│   ├── restriction
│   │   ├── __init__.py
│   │   ├── has_value_restriction.py
│   │   └── restriction.py
│   ├── role_parent_with_degree.py
│   └── util
│       ├── __init__.py
│       ├── config_reader.py
│       ├── constants.py
│       ├── util.py
│       └── utils.py
└── fuzzyowl2
    ├── __init__.py
    ├── fuzzyowl2_to_fuzzydl.py
    ├── fuzzyowl2.py
    ├── owl_types
    │   ├── __init__.py
    │   ├── choquet_concept.py
    │   ├── concept_definition.py
    │   ├── fuzzy_datatype.py
    │   ├── fuzzy_modifier.py
    │   ├── fuzzy_nominal_concept.py
    │   ├── fuzzy_property.py
    │   ├── left_shoulder_function.py
    │   ├── linear_function.py
    │   ├── linear_modifier.py
    │   ├── modified_concept.py
    │   ├── modified_function.py
    │   ├── modified_property.py
    │   ├── owa_concept.py
    │   ├── property_definition.py
    │   ├── qowa_concept.py
    │   ├── quasi_sugeno_concept.py
    │   ├── right_shoulder_function.py
    │   ├── sugeno_concept.py
    │   ├── trapezoidal_function.py
    │   ├── triangular_function.py
    │   ├── triangular_modifer.py
    │   ├── weighted_concept.py
    │   ├── weighted_max_concept.py
    │   ├── weighted_min_concept.py
    │   ├── weighted_sum_concept.py
    │   └── weighted_sum_zero_concept.py
    ├── parser
    │   └── owl2_parser.py
    └── util
        └── constants.py

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License

This project is licensed under the Creative Commons Attribution-ShareAlike 4.0 International.