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Project:Design and development of intuitionistic fuzzy logic tools in information technologies

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"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.


Visits and exchanges

26 April - 11 June 2010

  • Rangasamy Parvathi's visit to Sofia, Bulgaria

19 April - 31 May 2011

  • Visit of Rangasamy Parvathi and Subbarayavalasu Paramasivam Geetha to Sofia, Bulgaria
    • Seminar in Burgas University 'Prof. Asen Zlatarov': 11 May 2011
    • Seminar in Burgas Free University: 11 May 2011

Software developments

Home screen of IFSTool. A list of implications has been loaded for investigation. To the right the list of possible actions is given.

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

For more information, see the specialized page of IFSTool.


Publication (Authors, Title, Journal, Volume, Number, Year, Pages) Download
1. Vassilev, P., The generalized modal operator F pα,β over p-intuitionistic fuzzy sets, Notes on Intuitionistic Fuzzy Sets, Vol. 15, 2009, No. 4, 19-24. Download-icon.png PDF (163 Kb, Info)
2. 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. Download-icon.png PDF (45 Kb, Info)
3. Chountas, P., A. Shannon, P. Rangasamy, K. Atanassov. On intuitionistic fuzzy trees and their index matrix interpretation. Notes on Intuitionistic Fuzzy Sets, Vol. 15, 2009, No. 4, 52-56. Download-icon.png PDF (144 Kb, Info)
4. 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. Download-icon.png PDF (302 Kb)
5. 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), Springer-Verlag Berlin Heidelberg, Part I, CCIS 80, pp. 581–590. Download-icon.png PDF (152 Kb, Info)
6. Vassilev, P., On reassessment of expert evaluations in the case of intuitionistic fuzziness, Advanced Studies in Contemporary Mathematics, Vol. 20 (4), October 2010, pp. 569-574. Download-icon.png PDF (230 Kb, Info)

Download-icon.png PDF (8560 Kb, Info)

7. Атанасова, В., Уики технологии в помощ на науката. Примерът с, 8ма Национална младежка научно-практическа сесия на ФНТС, 10-11 май 2010 Download-icon.png PDF (280 Kb, Info)
8. Riečan, B., K. Atanassov, On intuitionistic fuzzy level operators, Notes on Intuitionistic Fuzzy Sets, Vol. 16, 2010, No. 3, 42-44. Download-icon.png PDF (130 Kb, Info)
9. Shannon, A., P. Rangasamy, K. Atanassov, P. Chountas. On intuitionistic fuzzy trees. Developments in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics, Vol. I: Foundations. March 2010, 177-184. Download-icon.png PDF (8325 Kb, Info)
10. Atanassov, K., On two topological operators over intuitionistic fuzzy sets, Issues in Intuitionistic Fuzzy Sets and Generalized Nets, Vol. 8, 2010, Warsaw, pp. 1-7 Download-icon.png PDF (122 Kb, Info)
11. Todorova, L., P. Vassilev, E. Szmidt, S. Hadjitodorov, Spatial interpretation of operators over intuitionistic fuzzy sets, Issues in Intuitionistic Fuzzy Sets and Generalized Nets, Vol. 8, 2010, Warsaw, pp. 8-18 Download-icon.png PDF (265 Kb, Info)
12. Atanassov, K., New ways for altering the intuitionistic fuzzy experts' estimations, Issues in Intuitionistic Fuzzy Sets and Generalized Nets, Vol. 8, 2010, Warsaw, pp. 24-29 Download-icon.png PDF (100 Kb, Info)
13. Atanassov, K., Cantor's norms for intuitionistic fuzzy sets, Issues in Intuitionistic Fuzzy Sets and Generalized Nets, Vol. 8, 2010, Warsaw, pp. 36-39 Download-icon.png PDF (56 Kb, Info)
14. Tcheshmedjiev, P., P. Vassilev, Determining intuitionistic fuzzy degree of overlapping of computation and communication in parallel applications using generalized nets, Issues in Intuitionistic Fuzzy Sets and Generalized Nets, Vol. 8, 2010, Warsaw, pp. 50-57 Download-icon.png PDF (148 Kb, Info)

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