Abstract
Today robotics technology will increase economic growth and productivity and create new career opportunities for many people worldwide. Robotics is a branch of study concerned with the creation of robots and automation, and robotics is a programmable machine that can fulfill a task. In this paper, we want to evaluate the novel concept of bipolar complex intuitionistic fuzzy soft relation (BCIFSRs) by employing the Cartesian product of two bipolar complex intuitionistic fuzzy soft which are computed with the aid of two distinct concepts, referred to as BCIR relation and soft sets. The major objective is to create some innovative and useful notions that may be used to handle uncomfortable and unreliable information in practical situations. Additionally, we examined various types of relations and also justified them with the aid of some appropriate examples. The BCIFSRs have a broad framework because it is discussing both positive and negative aspects of membership and non-membership degrees with multidimensional variables. The proposed idea is more dominant and superior to the pre-existing ideas. Further, the application of the proposed method is illustrated to select the best robots. Robots can often improve output, effectiveness, product quality, and consistency. Furthermore, a score function is established for the proposed structures to choose the best robotics. Finally, a comparison with existing frameworks explains the benefits of the proposed frameworks.
Similar content being viewed by others
Data Availability
Data sharing is not applicable to this article as no datasets were generated or analyzed during the current study.
References
Zadeh, L.A.: Fuzzy sets. Inf. Control 8(3), 338–353 (1965)
Zimmermann, H.J.: Fuzzy set theory—and its applications. Springer, Berlin (2011)
Ragin, C.C.: Fuzzy-set social science. University of Chicago Press, Chicago (2000)
Roberts, D.W.: Ordination on the basis of fuzzy set theory. Vegetatio 66(3), 123–131 (1986)
Deschrijver, G., Kerre, E.E.: On the relationship between some extensions of fuzzy set theory. Fuzzy Sets Syst. 133(2), 227–235 (2003)
Mendel, J.M.: Fuzzy logic systems for engineering: a tutorial. Proc. IEEE 83(3), 345–377 (1995)
Braae, M., Rutherford, D.A.: Fuzzy relations in a control setting. Kybernetes (1978). https://doi.org/10.1108/eb005482
Nemitz, W.C.: Fuzzy relations and fuzzy functions. Fuzzy Sets Syst. 19(2), 177–191 (1986)
Ramot, D., Milo, R., Friedman, M., Kandel, A.: Complex fuzzy sets. IEEE Trans. Fuzzy Syst. 10(2), 171–186 (2002)
Zhang, G., Dillon, T.S., Cai, K.Y., Ma, J., Lu, J.: Operation properties and δ-equalities of complex fuzzy sets. Int. J. Approx. Reason. 50(8), 1227–1249 (2009)
Hu, B., Bi, L., Dai, S.: The orthogonality between complex fuzzy sets and its application to signal detection. Symmetry 9(9), 175 (2017)
Molodtsov, D.: Soft set theory—first results. Comput. Math. Appl. 37(4–5), 19–31 (1999)
Alkhazaleh, S., Salleh, A.R., Hassan, N.: Soft multisets theory. Appl. Math. Sci. 5(72), 3561–3573 (2011)
Yang, X., Yu, D., Yang, J., Wu, C.: Generalization of soft set theory: from crisp to fuzzy case. In: Cao, B.Y. (ed.) Fuzzy information and engineering, pp. 345–354. Springer, Berlin (2007)
Maji, P.K., Roy, A.R., Biswas, R.: An application of soft sets in a decision making problem. Comput. Math. Appl. 44(8–9), 1077–1083 (2002)
Babitha, K.V., Sunil, J.: Soft set relations and functions. Comput. Math. Appl. 60(7), 1840–1849 (2010)
Yang, H.L., Guo, Z.L.: Kernels and closures of soft set relations, and soft set relation mappings. Comput. Math. Appl. 61(3), 651–662 (2011)
Park, J.H., Kim, O.H., Kwun, Y.C.: Some properties of equivalence soft set relations. Comput. Math. Appl. 63(6), 1079–1088 (2012)
Babitha, K. V., & John, S. J.: Soft topologies generated by soft set relations. In Handbook of research on generalized and hybrid set structures and applications for soft computing (pp. 118–126). IGI Global. (2016)
Maji, P. K., Biswas, R. K., Roy, A.: Fuzzy aoft aets. J. Fuzzy Math. 9(3), 589–602 (2001)
Ali, M.I.: A note on soft sets, rough soft sets and fuzzy soft sets. Appl. Soft Comput. 11(4), 3329–3332 (2011)
Yao, B. X., Liu, J. L., Yan, R. X.: Fuzzy soft set and soft fuzzy set. In 2008 Fourth International Conference on Natural Computation (Vol. 6, pp. 252–255). IEEE. (2008)
Feng, F., Jun, Y.B., Liu, X., Li, L.: An adjustable approach to fuzzy soft set based decision making. J. Comput. Appl. Math. 234(1), 10–20 (2010)
Borah, M.J., Neog, T.J., Sut, D.K.: Relations on fuzzy soft sets. J. Math. Comput. Sci. 2(3), 515–534 (2012)
Močkoř, J., Hurtík, P.: Approximations of fuzzy soft sets by fuzzy soft relations with image processing application. Soft. Comput. 25(10), 6915–6925 (2021)
Thirunavukarasu, P., Suresh, R., Ashok Kumar, V.: Theory of complex fuzzy soft set and its applications. Int. J. Innov. Res. Sci. Technol. 3(10), 13–18 (2017)
Alsarahead, M.O., Ahmad, A.G.: CFS group. J. Qual. Manag. Anal. 13(2), 17–28 (2017)
Lee, K. M.: Bipolar-valued fuzzy sets and their operations. In Proc. Int. Conf. on Intelligent Technologies, Bangkok, Thailand, (pp. 307–312) (2000)
Alkouri, A.U.M., Massa’deh, M.O., Ali, M.: On bipolar complex fuzzy sets and its application. J. Intell. Fuzzy Syst. 39(1), 383–397 (2020)
Mahmood, T., Ur Rehman, U.: A novel approach towards bipolar complex fuzzy sets and their applications in generalized similarity measures. Int. J. Intell. Syst. 37(1), 535–567 (2022)
Abdullah, S., Aslam, M., Ullah, K.: Bipolar fuzzy soft sets and its applications in decision making problem. J. Intell. Fuzzy Syst. 27(2), 729–742 (2014)
Riaz, M., Tehrim, S.T.: Bipolar fuzzy soft mappings with application to bipolar disorders. Int. J. Biomath. 12(07), 1950080 (2019)
Naz, M., Shabir, M.: On fuzzy bipolar soft sets, their algebraic structures and applications. J. Intell. Fuzzy Syst. 26(4), 1645–1656 (2014)
Mahmood, T., Rehman, U.U., Jaleel, A., Ahmmad, J., Chinram, R.: Bipolar complex fuzzy soft sets and their applications in decision-making. Mathematics 10(7), 1048 (2022)
Atanassov, K.: Intuitionistic fuzzy sets. Fuzzy Sets Syst. (1986). https://doi.org/10.1016/S0165-0114(86)80034-3
De, S.K., Biswas, R., Roy, A.R.: An application of intuitionistic fuzzy sets in medical diagnosis. Fuzzy Sets Syst. 117(2), 209–213 (2001)
Alkouri, A. M. D. J. S., Salleh, A. R.: Complex intuitionistic fuzzy sets. In AIP conference proceedings (Vol. 1482, No. 1, pp. 464–470). American Institute of Physics. (2012).
Rani, D., Garg, H.: Distance measures between the complex intuitionistic fuzzy sets and their applications to the decision-making process. Int. J. Uncertain. Quantif. 7(5), 423–439 (2017)
Xu, Y. J., Sun, Y. K., Li, D. F.: Intuitionistic fuzzy soft set. In 2010 2nd International Workshop on Intelligent Systems and Applications (pp. 1–4). IEEE (2010, May)
Dinda, B., Samanta, T. K.: Relations on intuitionistic fuzzy soft sets. arXiv preprint arXiv:1202.4649 (2012)
Kumar, T., Bajaj, R.K.: On complex intuitionistic fuzzy soft sets with distance measures and entropies. J. Math. (2014). https://doi.org/10.1155/2014/972198
Ezhilmaran, D., Sankar, K.: Morphism of bipolar intuitionistic fuzzy graphs. J. Discret. Math. Sci. Cryptogr. 18(5), 605–621 (2015)
Al-Husban, A.: Bipolar complex intuitionistic fuzzy sets. Earthline J. Math. Sci. 8(2), 273–280 (2022)
Jan, N., Maqsood, R., Nasir, A., Alhilal, M.S., Alabrah, A., Al-Aidroos, N.: A new approach to model machine learning by using complex bipolar intuitionistic fuzzy information. J. Funct. Spaces (2022). https://doi.org/10.1155/2022/3147321
Jana, C., Pal, M.: Application of bipolar intuitionistic fuzzy soft sets in decision making problem. Int. J. Fuzzy Syst. Appl. (IJFSA) 7(3), 32–55 (2018)
Berlanga, A., Sanchis, A., Isasi, P., Molina, J. M.: A general learning coevolution method to generalize autonomous robot navigation behavior. In Proceedings of the congress on evolutionary computation, La Jolla, CA (USA) (pp. 769–776). (2000)
Zhao, R., Dai, H., Yao, H.: Liquid-metal magnetic soft robot with reprogrammable magnetization and stiffness. IEEE Robot. Autom. Lett. 7(2), 4535–4541 (2022)
Xu, S., He, Q., Tao, S., Chen, H., Chai, Y., Zheng, W.: Pig face recognition based on trapezoid normalized pixel difference feature and trimmed mean attention mechanism. IEEE Trans. Instrum. Meas. (2022). https://doi.org/10.1109/TIM.2022.3232093
Liao, L., Du, L., Guo, Y.: Semi-supervised SAR target detection based on an improved faster R-CNN. Remote Sensing 14(1), 143 (2021). https://doi.org/10.3390/rs14010143
Alajanbi, M., Malerba, D., Liu, H.: Distributed reduced convolution neural networks. Mesop. J. Big Data 2021, 29–29 (2021)
Chen, J., Du, L., Guo, Y.: Label constrained convolutional factor analysis for classification with limited training samples. Inf. Sci. 544, 372–394 (2021). https://doi.org/10.1016/j.ins.2020.08.048
Talib, R.: How we can use energy efficiency built upon the method of K-means clustering to extend the lifetime of WSN. Al-Salam J. Eng. Technol. 2(1), 40–45 (2022)
Lu, S., Liu, S., Hou, P., Yang, B., Liu, M., Yin, L., Zheng, W.: Soft tissue feature tracking based on deep matching network. Comput. Model. Eng. Sci. 136(1), 363–379 (2023)
Acknowledgements
This work was supported in part by the Brain Pool program funded by the Ministry of Science and ICT through the National Research Foundation of Korea (Grant No. 2022H1D3A2A02060097).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declared that they have no conflicts of interest to this work.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Gwak, J., Garg, H. & Jan, N. Investigation of Robotics Technology Based on Bipolar Complex Intuitionistic Fuzzy Soft Relation. Int. J. Fuzzy Syst. 25, 1834–1852 (2023). https://doi.org/10.1007/s40815-023-01487-0
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s40815-023-01487-0