Abstract
The paper deals with a new type of intuitionistic fuzzy number, in the complex plane called as complex horizontal relative trapezoidal intuitionistic fuzzy number (CHRTrIFN). Arithmetic operations like addition, multiplicative inverse and division on these numbers are defined and discussed. Complex horizontal relative trapezoidal intuitionistic fuzzy number(CHRTrIFN) and geometric representation of CHRTrIFN and complex trapezoidal intuitionistic fuzzy number(CTrIFN) are presented. CHRTrIFNs are used to solve complex intuitionistic fuzzy linear system of equations and is applied in a RLC intuitionistic fuzzy circuit to find the current flow in the circuit.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
We’re sorry, something doesn't seem to be working properly.
Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.
References
Kaufmann, A., Gupta, M.M.: Introduction to fuzzy arithmetic. Elsevier Science Publishers, Van Nostrand Reinhold, Newyork (1991)
Atanassov, K.T.: Intuitionistic Fuzzy Sets: Theory and Applications. Physica-Verlag, Heidelberg (1999)
Buckley, J.: Fuzzy complex numbers. Fuzzy Sets Syst. 33, 333–345 (1989)
Burillo, P.B., Mohedano, V.: Some definition of intuitionistic fuzzy number. Fuzzy Based Expert Systems. Fuzzy Bulgarian Enthusiasts, 28–30 (1994)
Landowski M.: Decomposition method for calculations on intuitionistic fuzzy numbers. In: Atanassov K., et al. (eds.) Uncertainty and Imprecision in Decision Making and Decision Support: New Challenges, Solutions and Perspectives. IWIFSGN 2018. Advances in Intelligent Systems and Computing, vol. 1081, pp. 58–68. Springer, Cham (2021). https://doi.org/10.1007/978-3-030-47024-1_7
Moore, R.E.: Interval Analysis. Prentice Hall, India (1996)
Parvathi R., Akila Padmasree, J.: Complex trapezoidal intuitionistic fuzzy numbers. Notes Intuitionistic Fuzzy Sets 24, 50–62 (2018). https://doi.org/10.7546/nifs.2018.24.4.50-62
Piegat, A., Landowski, M.: Fuzzy arithmetic type 1 with horizontal membership functions. In: Kreinovich, V. (ed.) Uncertainty Modeling. Studies in Computational Intelligence, vol. 683, pp. 233–250. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-51052-1_14
Piegat, A., Landowski, M.: Is an interval the right result of arithmetic operations on intervals? Int. J. Appl. Math. Comput. Sci. 27, 575–590 (2017)
Piegat, A., Landowski, M.: On fuzzy RDM-arithmetic. In: Kobayashi S., Piegat, A., Pejas, J., El Fray, I., Kacprzyk, J. (eds.) Hard and Soft Computing for Artificial Intelligence, Multimedia and Security. ACS 2016. Advances in Intelligent Systems and Computing, vol. 534, pp. 3–16. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-48429-7_1
Rahoogay, T., Sadoghi, H., Yazdi, R.M.: Fuzzy complex system of linear equations applied to circuit analysis. Int. J. Comput. Electr. Eng. 1, 1793–8163 (2009)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Akila Padmasree, J., Parvathi, R. (2022). A Novel Approach of Complex Intuitionistic Fuzzy Linear Systems in an Electrical Circuit. In: Kahraman, C., Cebi, S., Cevik Onar, S., Oztaysi, B., Tolga, A.C., Sari, I.U. (eds) Intelligent and Fuzzy Techniques for Emerging Conditions and Digital Transformation. INFUS 2021. Lecture Notes in Networks and Systems, vol 308. Springer, Cham. https://doi.org/10.1007/978-3-030-85577-2_13
Download citation
DOI: https://doi.org/10.1007/978-3-030-85577-2_13
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-85576-5
Online ISBN: 978-3-030-85577-2
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)