Abstract
Intuitionistic fuzzy sets are an area that has attracted the attention of many researchers recently and is used in many application areas. Researchers have made use of intuitionistic fuzzy sets because of their usefulness in all applications involving decision making. In decision making problems including criteria and alternatives, intuitive fuzzy sets are evaluated with distance measures defined, and more sensitive results are obtained in application areas than many methods.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
L.A. Zadeh, Fuzzy sets. Inf. Control 8, 338–353 (1965)
K.T. Atanassov, Intuitionistic fuzzy sets, VII ITKR Session, Sofia, 20–23 June 1983 (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84) (in Bulgarian), Reprinted: Int. J. Bioautomation 20(S1) (2016)
K.T. Atanassov, Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20(1), 87–96 (1986)
G. Çuvalcıoğlu, S. Yılmaz, Some properties of OTMOs on IFSs. Adv. Stud. Contemp. Math. 20(4), 621–628 (2010)
G. Çuvalcıoğlu, E. Aykut, An application of the intuitionistic fuzzy modal operator Eα,β. NIFS 20(5), 57–61 (2014)
G. Çuvalcıoğlu, S. Yılmaz, K.T. Atanassov, Matrix representation of the second type of intuitionistic fuzzy modal operators. Notes on Intuitionistic Fuzzy Sets 20(5), 9–16 (2014)
G. Çuvalcıoğlu, S. Yılmaz, Some properties of intuitionistic fuzzy equivalence relations and class trees w.r.t. intuitionistic fuzzy equivalence relations. Adv. Stud. Contemp. Math. 24(1), 77–86 (2014)
G. Çuvalcıoğlu, E. Aykut, An application of some intuitionistic fuzzy modal operators to agriculture. Notes on Intuitionistic Fuzzy Sets 21(2), 140–149 (2015)
G. Çuvalcıoğlu, S. Tarsuslu (Ylmaz), Universal algebra in intuitionistic fuzzy set theory. Notes on Intuitionistic Fuzzy Sets 23(1), 1–5 (2017)
P.A. Ejegwa, A.J. Akubo, O.M. Joshua, Intuitionistic fuzzy sets in career determination. Glob. J. Sci. Front. Res.: F Math. Decis. Sci. 14(3) (2014)
S. Melliani, O. Castillo, in Recent Advances in Intuitionistic Fuzzy Logic Systems: Theoretical Aspects and Applications. Studies in Fuzziness and Soft Computing (Springer, 2019)
S. Melliani, O. Castillo, in Recent Advances in Intuitionistic Fuzzy Logic Systems and Mathematics. Studies in Fuzziness and Soft Computing (Springer, 2021)
E. Szmidt, J. Kacprzyk, Intuitionistic fuzzy sets in some medical applications. Notes on IFS 7(4), 58–64 (2001)
E. Szmidt, J. Kacprzyk, Medical diagnostic reasoning using a similarity measure for intuitionistic fuzzy sets. Notes on IFS 10(4), 61–69 (2004)
F. Kutlu, Ö. Atan, T. Bilgin, Comparative Analysis of Performances of Fuzzy and Intuitionistic Fuzzy Similarity Measures on Noise Added Images, in Conference: FUZZYSS (2015)
E. Szmidt, in Distances and Similarities in Intuitionistic Fuzzy Sets. Studies in Fuzziness and Soft Computing (Springer, 2014)
F. Tuğrul, B. Yılmaz, M. Çitil, School success ranking in multi criteria decision making. Turk. J. Math. Comput. Sci. 10, 1–6 (2018). MATDER
F. Tuğrul, B. Yılmaz, M. Çitil, Application of ranking with similarity measure in multi criteria decision making. Konuralp J. Math. 7(2), 438–441 (2019)
W. Wang, X. Xin, Distance measure between intuitionistic fuzzy sets. Pattern Recogn. Lett. 26, 2063–2069 (Elsevier, 2005)
Z.S. Xu, J. Chen, An Overview of Distance and Similarity Measures of Intuitionistic Fuzzy Sets. Int. J. Uncertain. Fuzziness Knowl. Based Syst. 16(4), 529–555 (2008)
G. Çuvalcıoğlu, V. Bureva, A. Michalikova, Intercriteria analysis applied to university ranking system of Turkey. Notes on Intuitionistic Fuzzy Sets 25(4), 90–97 (2019)
R. Parvathi, V. Atanassova, L. Doukovska, C. Yuvapriya, K. Indhurekha, Intercriteria analysis of rankings of Indian Universities. Notes on Intuitionistic Fuzzy Sets. 24(1), 99–109 (2018)
F. Tuğrul, M. Çitil, B. Karasolak, M. Dağlı, Interpretation of physical conditions of schools with fuzzy multi criteria decision making. J. Univ. Math. 3(1), 46–52 (2020)
E. Szmidt, J. Kacprzyk, On measuring distances between intuitionistic fuzzy sets. Notes on IFS 3(4), 1–3 (1997)
E. Szmidt, J. Kacprzyk, Distances between intuitionistic fuzzy sets. Fuzzy Sets Syst. 114(3), 505–518 (2000)
S. Chen, J. Tan, Handling multicriteria fuzzy decision-making problems based on vague set theory. Fuzzy Sets Syst. 67, 163–172 (1994)
M. Çitil, Application of the intuitionistic fuzzy in education. Commun. Math. Appl. 10(1), 131–143 (2019)
M. Çitil, F. Tuğrul, B. Yılmaz, An application of multi criteria decision making: ranking of school success. Celal Bayar Univ. J. Sci. 15(1), 45–50 (2019)
E. Szmidt, J. Kacprzyk, An application of intuitionistic fuzzy set similarity measures to a multi-criteria decision making problem (Springer, Heidelberg, 2006), pp. 314-323
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Tuğrul, F., Çitil, M. (2023). On Decision Making Applications via Distance Measures. In: Castillo, O., Melin, P. (eds) Fuzzy Logic and Neural Networks for Hybrid Intelligent System Design. Studies in Computational Intelligence, vol 1061. Springer, Cham. https://doi.org/10.1007/978-3-031-22042-5_1
Download citation
DOI: https://doi.org/10.1007/978-3-031-22042-5_1
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-22041-8
Online ISBN: 978-3-031-22042-5
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)