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| === Software developments === | | === Software developments === |
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| | As of July 2010, the project participant [[Dimitar Dimitrov]] has started developing the software [[IFSTool]] that performs checking of the properties of the [[intuitionistic fuzzy implications]] and [[intuitionistic fuzzy negations|negations]] and assists the user in the development of new arithmetic operations. |
| | |
| | A part of the software’s features are the following: |
| | * Checking for coincidence of different implications and coincidence of different negations, |
| | * Checking for the satisfaction of the axioms of the classical logic and the axioms of the non-classical logics, |
| | * Introduction of order among the generated implications and negations. |
| | |
| | The software can import/export data from/to various formats: TeX, HTML, plain text, PNG and others. The application has the capacity to process very large arrays of data and operations at a time. On a functional level it returns accurate results but it is still imminent the development of a more convenient user interface as well as user documentation. Once ready, the executable file and the source code of the application will be made freely available over Ifigenia.org. |
| | |
| | For more information, see the specialized page of [[IFSTool]]. |
|
| |
|
| === Publications === | | === Publications === |
"Design and development of intuitionistic fuzzy logic tools in information technologies" is a three-year project under the bilateral scientific exchange programme between Bulgaria and India (Ref. No. BIn-2/09). The project partners are
- Centre of Biomedical Engineeering, Bulgarian Academy of Sciences, Sofia, Bulgaria
- Vellalar College for Women, Tamilnadu, India.
The respective project coordinators from both sides are Prof. Krassimir Atanassov from CBME and Dr Parvathi Rangasamy from VCW. The project documents were signed on 27 July 2009 on Bulgarian side.
The project is focused on:
- Research of the properties of intuitionistic fuzzy sets of second and n-th type.
- Research of implications and negations.
- Development of software for checking the properties of IF implications and negations.
- Applications of IFS in the field of pattern recognition.
- Elaboration of a methodology for teaching IFS and development of learning content.
- Provision of access to publications on IFS, writing Ifigenia articles in the area of IFS.
Ifigenia is the platform for implementation of a part of the project activities and all project results will be announced here.
Results
Visits and exchanges
- 26 April - 11 June 2010
- Parvathi Rangasamy's visit to Sofia, Bulgaria
- Seminar in Centre of Biomedical Engineering, BAS: 26 May 2010
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-
-
- Seminar in Burgas University 'Prof. Asen Zlatarov': 4 June 2010
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-
-
-
Software developments
As of July 2010, the project participant Dimitar Dimitrov has started developing the software IFSTool that performs checking of the properties of the intuitionistic fuzzy implications and negations and assists the user in the development of new arithmetic operations.
A part of the software’s features are the following:
- Checking for coincidence of different implications and coincidence of different negations,
- Checking for the satisfaction of the axioms of the classical logic and the axioms of the non-classical logics,
- Introduction of order among the generated implications and negations.
The software can import/export data from/to various formats: TeX, HTML, plain text, PNG and others. The application has the capacity to process very large arrays of data and operations at a time. On a functional level it returns accurate results but it is still imminent the development of a more convenient user interface as well as user documentation. Once ready, the executable file and the source code of the application will be made freely available over Ifigenia.org.
For more information, see the specialized page of IFSTool.
Publications
- Fidanova, S., K. Atanassov, P. Marinov, R. Parvathi, Ant colony optimization for multiple knapsack problems with controlled starts. Bioautomation, Vol. 13, 2009, No. 4, 271-280. PDF (302 Kb)
- Vassilev, P., The generalized modal operator F pα,β over p-intuitionistic fuzzy sets, Notes on Intuitionistic Fuzzy Sets, Vol. 15, 2009, No. 4, 25-29. PDF (163 Kb, Info)
- Todorova, L., Vassilev, P., A note on a geometric interpretation of the intuitionistic fuzzy set operators Pα,β and Qα,β, Notes on Intuitionistic Fuzzy Sets, Vol. 15, 2009, No. 4, 25-29. PDF (45 Kb, Info)
- Chountas, P., A. Shannon, P. Rangasamy and K. Atanassov. On intuitionistic fuzzy trees and their index matrix interpretation. Notes on Intuitionistic Fuzzy Sets, Vol. 15, 2009, No. 4, 52-56. PDF (144 Kb, Info)
- Atanassov, K., A New Approach to the Distances between Intuitionistic Fuzzy Sets, In: Proc. of IMPU`2010 (Eds.: E. Hüllermeier, R. Kruse, and F. Hoffmann), Part I, CCIS 80, pp. 581–590, Springer-Verlag Berlin Heidelberg PDF (152 Kb, Info)
- Vassilev, P., On Reassessment of Expert Evaluations in the Case of Intuitionistic Fuzziness (submitted)
- Атанасова, В., Уики технологии в помощ на науката. Примерът с Ifigenia.org, 8ма Национална младежка научно-практическа сесия на ФНТС, 10-11 май 2010
Learning content
Provision of access to IFS publications (edit)
No.
|
Date of access
|
Title of publication
|
Year of publication
|
1
|
2009-07-29
|
Mathematical techniques to convert intuitionistic fuzzy sets into fuzzy sets
|
2004
|
2
|
2009-08-13
|
On the intuitionistic fuzzy logic operations
|
1995
|
3
|
2009-08-13
|
A theorem for constructing interval-valued intuitionistic fuzzy sets from intuitionistic fuzzy sets
|
1995
|
4
|
2009-08-13
|
Ideas for intuitionistic fuzzy equations
|
1995
|
5
|
2009-08-13
|
On an intuitionistic fuzzy norm
|
1995
|
6
|
2009-08-20
|
How two matrices can be compared?
|
1995
|
7
|
2009-08-20
|
On a new geometrical interpretation of the intuitionistic fuzzy sets
|
1995
|
8
|
2009-08-20
|
Intuitionistic fuzzy graphs from α-, β-, and (α, β)- levels
|
1995
|
9
|
2009-08-20
|
On probability and independence in intuitionistic fuzzy set theory
|
1995
|
10
|
2009-08-20
|
An intuitionistic fuzzy k-nearest neighbors rule
|
1995
|
11
|
2009-08-29
|
Handling multicriteria fuzzy decision making problems based on intuitionistic fuzzy sets
|
1995
|
12
|
2009-08-29
|
On intuitionistic fuzzy weight production systems
|
1995
|
13
|
2009-08-29
|
A method for inference in approximate reasoning based on normal intuitionistic fuzzy sets
|
1995
|
14
|
2009-09-06
|
Intuitionistic fuzzy interpretation of two-level classifiers
|
1995
|
15
|
2009-09-06
|
An intuitionistic fuzzy sets application to the K-NN method
|
1995
|
16
|
2009-09-06
|
Application of intuitionistic fuzzy set in plant tissue culture and in vitro selection
|
1995
|
17
|
2009-09-06
|
The intuitionistic fuzzy set approach in the psychological research
|
1995
|
18
|
2009-09-06
|
Applicability of the intuitionistic fuzzy set approach to musical language
|
1995
|
19
|
2009-09-06
|
Decision making methods based on elements of intuitionistic fuzzy sets and their software implementation
|
1995
|
20
|
2009-09-06
|
Interval valued intuitionistic fuzzy sets
|
1989
|
21
|
2009-09-06
|
More on intuitionistic fuzzy sets
|
1989
|
22
|
2009-09-06
|
New operations defined over intuitionistic fuzzy sets
|
1994
|
23
|
2009-09-11
|
Intuitionistic fuzzy Prolog
|
1993
|
24
|
2009-09-11
|
An attempt to build an intuitionistic fuzzy Prolog machine
|
2004
|
25
|
2009-09-11
|
Some properties of intuitionistic fuzzy metric spaces
|
2004
|
26
|
2009-09-11
|
Normalization of intuitionistic fuzzy relational databases
|
2004
|
27
|
2009-09-11
|
Elements of intuitionistic fuzzy logic. Part 1
|
1993
|
28
|
2009-09-20
|
Symmetrical difference over intuitionistic fuzzy sets
|
2004
|
29
|
2009-10-26
|
A note on the Hausdorff distance between Atanassov's intuitionistic fuzzy sets
|
2009
|
30
|
2009-10-28
|
The homomorphism and anti-homomorphism of lower level subgroups of an intuitionistic antifuzzy subgroup
|
2009
|
31
|
2009-10-28
|
Remark on operation "subtraction" over intuitionistic fuzzy sets
|
2009
|
32
|
2009-10-29
|
Ergodic theorem on B-structures
|
2009
|
33
|
2009-10-29
|
On the negations over intuitionistic fuzzy sets. Part 1
|
2008
|
34
|
2009-10-29
|
A framework for a prototype of an intuitionistic fuzzy expert system
|
2009
|
35
|
2009-10-29
|
Fault tree analysis in an intuitionistic fuzzy configuration management database
|
2009
|
36
|
2009-10-30
|
Neural network for defining intuitionistic fuzzy sets in e-learning
|
2009
|
37
|
2009-10-30
|
Generalized net model of the intuitionistic fuzzy feed forward neural network
|
2009
|
38
|
2009-10-30
|
A method to obtain trapezoidal approximations of intuitionistic fuzzy numbers from trapezoidal approximations of fuzzy sets
|
2009
|
39
|
2009-10-30
|
A note on properties of temporal intuitionistic fuzzy sets
|
2009
|
40
|
2009-10-30
|
On the intuitionistic Q-fuzzy ideals of near-rings
|
2009
|
41
|
2009-10-30
|
On intuitionistic fuzzy trees
|
2009
|
42
|
2009-10-30
|
Theorem for equivalence of the two most general intuitionistic fuzzy modal operators
|
2009
|
43
|
2009-10-30
|
Intuitionistic fuzzy detection of signal availability in multipath wireless channels
|
2009
|
44
|
2009-10-30
|
On some properties of intuitionistic fuzzy negation ¬@
|
2009
|
45
|
2009-10-31
|
A note on IFS modifications and possible applications to machine translation
|
2007
|
46
|
2009-10-31
|
The most general form of one type of intuitionistic fuzzy modal operators. Part 2
|
2008
|
47
|
2009-10-31
|
Determining intuitionistic fuzzy index for overall employees' performance based on objectives and KPIs
|
2008
|
48
|
2009-11-02
|
Intuitionistic fuzzy metric over RΔ
|
2001
|
49
|
2009-11-03
|
Intuitionistic fuzzy sets and fuzzy sets depending on Q-norms
|
2008
|
50
|
2009-11-03
|
n-extraction operation over intuitionistic fuzzy sets
|
2006
|
51
|
2009-11-03
|
On intuitionistic fuzzy negations and intuitionistic fuzzy extended modal operators. Part 1
|
2008
|
52
|
2009-11-03
|
A set-theoretical operation over intuitionistic fuzzy sets
|
2006
|
53
|
2009-11-03
|
Extended Choquet integrals and intuitionistic fuzzy sets
|
2007
|
54
|
2009-11-03
|
On some properties of the intuitionistic fuzzy operator Xa,b,c,d,e,f
|
2007
|
55
|
2009-11-06
|
From [0,1]-based logic to interval logic
|
2002
|
56
|
2009-11-06
|
Remark on a possible application of intuitionistic fuzzy sets in algebra
|
2008
|
57
|
2009-11-06
|
Some properties of the averaging operator on intuitionistic fuzzy sets
|
2005
|
58
|
2009-11-06
|
On a generalization of intuitionistic fuzzy graphs
|
2006
|
59
|
2009-11-19
|
Concept of distances and entropy for intuitionistic fuzzy sets and their applications in group decision making
|
2002
|
60
|
2009-11-19
|
Solution of intuitionistic fuzzy equation with extended operations
|
2003
|
61
|
2009-11-19
|
Examples of intuitionistic fuzzy algebras and intuitionistic fuzzy measures
|
2003
|
62
|
2009-11-19
|
Intuitionistic fuzzy logic and possibility distributions
|
2003
|
63
|
2009-11-19
|
A concept of similarity for intuitionistic fuzzy sets and its use in the aggregation of experts' testimonies
|
2003
|
64
|
2009-11-26
|
A measure extension theorem
|
2006
|
65
|
2009-11-26
|
Intuitionistic fuzzy interpretation for photographic records of relatively unpredictable events
|
2003
|
66
|
2010-04-20
|
On relationships among intuitionistic fuzzy approximation operators
|
2010
|
67
|
2010-04-20
|
Intuitionistic fuzzy implications and axioms for implications
|
2010
|
68
|
2010-04-20
|
Representation of fuzzy and intuitionistic fuzzy data by radar charts
|
2010
|
69
|
2010-04-20
|
Weak and strong forms of intuitionistic fuzzy sg-irresolute mappings
|
2010
|
70
|
2010-04-20
|
An outline for a new approach to clustering based on intuitionistic fuzzy relations
|
2010
|
71
|
2010-06-01
|
A new similarity measure and new distances for intuitionistic fuzzy sets
|
2009
|
72
|
2010-06-01
|
On intuitionistic fuzzy subtraction, generated by an implication from Kleene-Dienes type
|
2009
|
73
|
2010-06-01
|
A note on a geometric interpretation of the intuitionistic fuzzy set operators Pα,β and Qα,β
|
2009
|
74
|
2010-06-01
|
The generalized modal operator Fpα,β over p-intuitionistic fuzzy sets
|
2009
|
75
|
2010-06-01
|
On intuitionistic fuzzy subtraction, related to intuitionistic fuzzy negation ¬11
|
2009
|
76
|
2010-06-01
|
On intuitionistic fuzzy subtraction, related to intuitionistic fuzzy negation ¬4
|
2009
|
77
|
2010-06-01
|
Intuitionistic fuzzy logic in generalized net model of an advisory system for yeast cultivation on-line control
|
2009
|
78
|
2010-06-01
|
Generalized net model of process of the European awareness scenario workshop method with intuitionistic fuzzy estimation
|
2009
|
79
|
2010-06-01
|
On intuitionistic fuzzy trees and their index matrix interpretation
|
2009
|
80
|
2010-06-14
|
IF nearness
|
2008
|
81
|
2010-06-14
|
Trapezoidal approximations of intuitionistic fuzzy numbers expressed by value, ambiguity, width and weighted expected value
|
2008
|
82
|
2010-06-14
|
On a new intuitionistic fuzzy implication of Gaines-Rescher's type
|
2007
|
83
|
2010-06-14
|
A study on some intuitionistic fuzzy implications
|
2007
|
84
|
2010-06-17
|
A study on intuitionistic L-fuzzy subrings
|
2008
|
85
|
2010-06-17
|
Intuitionistic M-fuzzy sub-bigroup and its bi-level M-sub-bigroups
|
2008
|
86
|
2010-06-17
|
Four equalities connected with intuitionistic fuzzy sets
|
2008
|
87
|
2010-06-17
|
On properties of some IFS operators and operations
|
2008
|
88
|
2010-06-17
|
Generalized net model of the Ro-Ro traffic with intuitionistic fuzzy estimation
|
2008
|
89
|
2010-06-17
|
Intuitionistic fuzzy extensions to the Information Technology Infrastructure Library Configuration Management Database
|
2008
|
90
|
2010-06-19
|
On intuitionistic fuzzy negations and intuitionistic fuzzy level operators
|
2008
|
91
|
2010-06-19
|
Some properties of two operations over intuitionistic fuzzy sets
|
2008
|
92
|
2010-06-19
|
Intuitionistic fuzzy bi-matrix games
|
2007
|
93
|
2010-06-19
|
Intuitionistic fuzzy filters of ordered semigroups
|
2009
|
94
|
2010-06-19
|
Componentwise decomposition of intuitionistic L-fuzzy integrals and interval-valued intuitionistic fuzzy integrals
|
2007
|
95
|
2010-06-19
|
Two- and three-parameter representation of intuitionistic fuzzy sets in the context of entropy and similarity
|
2007
|
96
|
2010-06-22
|
Four extended level operators of membership/non-membership over intuitionistic fuzzy sets
|
2008
|
97
|
2010-07-19
|
Refutability of physical theories: A new approach
|
2002
|
98
|
2010-07-19
|
Generalized negations and intuitionistic fuzzy sets - a criticism to a widely used terminology
|
2003
|
99
|
2010-07-19
|
Intuitionistic fuzzy sets or orthopair fuzzy sets?
|
2003
|
100
|
2010-07-19
|
Intuitionistic fuzzy sets and interval-valued fuzzy sets: A critical comparison
|
2003
|
101
|
2010-07-19
|
A method for constructing non t-representable intuitionistic fuzzy t-norms satisfying the residuation principle
|
2003
|
102
|
2010-07-19
|
Self-contradiction degrees in intuitionistic fuzzy sets
|
2005
|
103
|
2010-07-19
|
A new measure of entropy and its connection with a similarity measure for intuitionistic fuzzy sets
|
2005
|
104
|
2010-07-19
|
Non-conjunctive and non-disjunctive uninorms in Atanassov's intuitionistic fuzzy set theory
|
2009
|
105
|
2010-07-19
|
Generalized Atanassov's intuitionistic fuzzy index. Construction method
|
2009
|
106
|
2010-07-19
|
Analysis of similarity measures for Atanassov's intuitionistic fuzzy sets
|
2009
|
107
|
2010-07-19
|
Notes on Q-probabilities on intuitionistic fuzzy events
|
2009
|
108
|
2011-01-13
|
Continuity of intuitionistic fuzzy proper functions on intuitionistic smooth fuzzy topological spaces
|
2010
|
109
|
2011-01-13
|
(α,β)-cut of intuitionistic fuzzy ideals
|
2010
|
110
|
2011-01-13
|
Intuitionistic fuzzy generalized semi-pre closed mappings
|
2010
|
111
|
2011-01-13
|
Remark on equalities between intuitionistic fuzzy sets
|
2010
|
112
|
2011-01-13
|
On intuitionistic fuzzy level operators
|
2010
|
113
|
2011-01-13
|
Operation division by n over intuitionistic fuzzy sets
|
2010
|