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Int-FLBCC: Exploring Fuzzy Consensus Measures via Penalty Functions

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Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2022)

Abstract

The dynamic consolidation of resources in the infrastructures of services, programs, and information provided by cloud environments is a widely used strategy, modeling uncertainties to improve energy consumption in cloud computing. Determining the best configuration to reallocate overloaded hosts, underutilized or/and shallow load nodes may directly influence the resource utilization and the quality of service offered by the cloud-computing infrastructure. In this scenario, this work aims to address the uncertainty information related to computational power, communication cost, and RAM consumption in cloud environments based on the Int-FLBCC model. An interval-valued fuzzy logic approach is used, assuring reliability in the evaluation data through fuzzy consensus measures. The consensual analysis considers fusion data based on penalty functions. The evaluations considered two approaches: (i) consensus measures and penalty functions in fuzzy values related to membership functions; and (ii) consensus measures performed on fuzzy sets defining the input and output variables, building a new consensual analysis modeling the cohesion of several terms related to the same linguistic variables, and the coherence between fuzzy sets referring to the lowest and highest projections. Simulations pointed to promising results in the treatment of imprecision in Int-FLBCC.

This study was partially supported by CAPES, CNPq (309160/2019-7; 311429/2020-3), PqG/FAPERGS (21/2551-0002057-1) and FAPERGS/CNPq PRONEX (16/2551-0000488-9).

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Notes

  1. 1.

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References

  1. Beliakov, G., Calvo, T., James, S.: Consensus measures constructed from aggregation functions and fuzzy implications. Knowl.-Based Syst. 55, 1–8 (2014)

    Article  Google Scholar 

  2. Beloglazov, A.: Energy-efficient management of virtual machines in data centers for cloud computing. Ph.D. thesis, University of Melbourne (2013)

    Google Scholar 

  3. Bustince, H., Barrenechea, E., Calvo, T., James, S., Beliakov, G.: Consensus in multi-expert decision making problems using penalty functions defined over a cartesian product of lattices. Inf. Fusion 17, 56–64 (2014)

    Article  Google Scholar 

  4. Bustince, H., Pagola, M., Barrenechea, E.: Construction of fuzzy indices from fuzzy DI-subsethood measures: application to the global comparison of images. Inf. Sci. 177(3), 906–929 (2007)

    Article  MathSciNet  Google Scholar 

  5. Bustince, H., Fernandez, J., Burillo, P.: Penalty function in optimization problems: a review of recent developments. In: Pelta, D.A., Cruz Corona, C. (eds.) Soft Computing Based Optimization and Decision Models. SFSC, vol. 360, pp. 275–287. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-64286-4_17

    Chapter  Google Scholar 

  6. Calvo, T., Beliakov, G.: Aggregation functions based on penalties. Fuzzy Sets Syst. 161(10), 1420–1436 (2010)

    Article  MathSciNet  Google Scholar 

  7. Calvo, T., Mesiar, R., Yager, R.R.: Quantitative weights and aggregation. IEEE Trans. Fuzzy Syst. 12(1), 62–69 (2004)

    Article  Google Scholar 

  8. Dimuro, G.P., Mesiar, R., Bustince, H., Bedregal, B., Sanz, J.A., Lucca, G.: Penalty-based functions defined by pre-aggregation functions. In: Medina, J., et al. (eds.) IPMU 2018. CCIS, vol. 854, pp. 403–415. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-91476-3_34

    Chapter  Google Scholar 

  9. Elkano, M., et al.: Consensus via penalty functions for decision making in ensembles in fuzzy rule-based classification systems. Appli. Soft Comput. 67, 728–740 (2018)

    Article  Google Scholar 

  10. Ferdaus, M.H., Murshed, M., Calheiros, R.N., Buyya, R.: Virtual machine consolidation in cloud data centers using ACO Metaheuristic. In: Silva, F., Dutra, I., Santos Costa, V. (eds.) Euro-Par 2014. LNCS, vol. 8632, pp. 306–317. Springer, Cham (2014). https://doi.org/10.1007/978-3-319-09873-9_26

    Chapter  Google Scholar 

  11. Gehrke, M., Walker, C., Walker, E.: Some comments on interval valued fuzzy sets. Intl. J. Intell. Syst. 11(10), 751–759 (1996)

    Article  Google Scholar 

  12. Gourisaria, M.K., Samanta, A., Saha, A., Patra, S.S., Khilar, P.M.: An extensive review on cloud computing. In: Raju, K.S., Senkerik, R., Lanka, S.P., Rajagopal, V. (eds.) Data Engineering and Communication Technology. AISC, vol. 1079, pp. 53–78. Springer, Singapore (2020). https://doi.org/10.1007/978-981-15-1097-7_6

    Chapter  Google Scholar 

  13. Hiltunen, M.A., Schlichting, R.D., Jung, G., Pu, C., Joshi, K.R.: Mistral: dynamically managing power, performance, and adaptation cost in cloud infrastructures. In: 2010 IEEE 30th Intefnational Conference on Distributed Computing System, ICDCS, pp. 62–73 (2010)

    Google Scholar 

  14. Hornik, K., Meyer, D.: Deriving consensus rankings from benchmarking experiments. In: Decker, R., Lenz, H.-J. (eds.) Advances in Data Analysis. SCDAKO, pp. 163–170. Springer, Heidelberg (2007). https://doi.org/10.1007/978-3-540-70981-7_19

    Chapter  Google Scholar 

  15. Karnik, N.N., Mendel, J.M.: Introduction to type-2 fuzzy logic systems. In: 1998 IEEE International Conference on Fuzzy Systems Proceedings, vol. 2, pp. 915–920 (1998)

    Google Scholar 

  16. Klement, E., Mesiar, R., Pap, E.: Triangular norms. position paper I: basic analytical and algebraic properties. Fuzzy Sets Syst. 143(1), 5–26 (2004)

    Google Scholar 

  17. Martínez-Panero, M.: Consensus perspectives: glimpses into theoretical advances and applications. In: Herrera-Viedma, E., García-Lapresta, J.L., Kacprzyk, J., Fedrizzi, M., Nurmi, H., Zadrozny, S. (eds.) Consensual Processes. Studies in Fuzziness and Soft Computing, vol. 267, pp. 179–193. Springer (2011). https://doi.org/10.1007/978-3-642-20533-0_11

  18. Mendel, J.M.: Fuzzy sets for words: a new beginning. In: Fuzzy Systems, FUZZ 2003. The 12th IEEE International Conference on, vol. 1, pp. 37–42 (2003)

    Google Scholar 

  19. Mendel, J.M., John, R.I., Liu, F.: Interval type-2 fuzzy logic systems made simple. IEEE Trans. Fuzzy Syst. 14(6), 808–821 (2006). https://doi.org/10.1109/TFUZZ.2006.879986

    Article  Google Scholar 

  20. Mendel, J., Hagras, H., Tan, W.W., Melek, W.W., Ying, H.: Introduction to type-2 fuzzy logic control: theory and applications. John Wiley & Sons (2014)

    Google Scholar 

  21. Moura, B.M.P., Schneider, G.B., Yamin, A.C., Pilla, M.L., Reiser, R.H.S.: Int-fGrid: BoT tasks scheduling exploring fuzzy type-2 in computational grids. In: 2018 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE, pp. 1–8, July 2018

    Google Scholar 

  22. Moura, B.M., Schneider, G.B., Yamin, A.C., Santos, H., Reiser, R.H., Bedregal, B.: Interval-valued fuzzy logic approach for overloaded hosts in consolidation of virtual machines in cloud computing. Fuzzy Sets Syst. (2021). https://doi.org/10.1016/j.fss.2021.03.001

  23. Nathani, A., Chaudhary, S., Somani, G.: Policy based resource allocation in IAAS cloud. Futur. Gener. Comput. Syst. 28(1), 94–103 (2012)

    Article  Google Scholar 

  24. Nayak, S.K., Panda, S.K., Das, S.: Renewable energy-based resource management in cloud computing: a review. In: Tripathy, A.K., Sarkar, M., Sahoo, J.P., Li, K.-C., Chinara, S. (eds.) Advances in Distributed Computing and Machine Learning. LNNS, vol. 127, pp. 45–56. Springer, Singapore (2021). https://doi.org/10.1007/978-981-15-4218-3_5

    Chapter  Google Scholar 

  25. Santos, H.S., Couso, I., Bedregal, B.R.C., Takác, Z., Minárová, M., Asiain, A., Barrenechea, E., Bustince, H.: Similarity measures, penalty functions, and fuzzy entropy from new fuzzy subsethood measures. Int. J. Intell. Syst. 34(6), 1281–1302 (2019)

    Article  Google Scholar 

  26. Shehabi, A., et al.: United states data center energy usage report (2016)

    Google Scholar 

  27. Simmon, E.: Evaluation of cloud computing services based on nist sp 800–145 (2018). https://doi.org/10.6028/NIST.SP.500-322

  28. Sola, H.B., Fernandez, J., Hagras, H., Herrera, F., Pagola, M., Barrenechea, E.: Interval type-2 fuzzy sets are generalization of interval-valued fuzzy sets: toward a wider view on their relationship. IEEE Trans. Fuzzy Syst. 23(5), 1876–1882 (2015)

    Article  Google Scholar 

  29. de Souza Oliveira, L., Argou, A., Dilli, R., Yamin, A., Reiser, R., Bedregal, B.: Exploring fuzzy set consensus analysis in IoT resource ranking. Eng. Appl. Artif. Intell. 109, 104617 (2022)

    Google Scholar 

  30. Wilkin, T., Beliakov, G.: Weakly monotonic averaging functions. Int. J. Intell. Syst. 30(2), 144–169 (2015)

    Article  Google Scholar 

  31. Wu, D., Nie, M.: Comparison and practical implementation of type-reduction algorithms for type-2 fuzzy sets and systems. In: FUZZ-IEEE, pp. 2131–2138. IEEE (2011)

    Google Scholar 

  32. Yager, R.R., Rybalov, A.: Understanding the median as a fusion operator. Int. J. General Syst. 26(3), 239–263 (1997)

    Article  MathSciNet  Google Scholar 

  33. Zhang, Q., Cheng, L., Boutaba, R.: Cloud computing: state-of-the-art and research challenges. J. Internet Serv. Appli. 1(1), 7–18 (2010). https://doi.org/10.1007/s13174-010-0007-6

    Article  Google Scholar 

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Schneider, G., Moura, B., Monks, E., Santos, H., Yamin, A., Reiser, R. (2022). Int-FLBCC: Exploring Fuzzy Consensus Measures via Penalty Functions. In: Ciucci, D., et al. Information Processing and Management of Uncertainty in Knowledge-Based Systems. IPMU 2022. Communications in Computer and Information Science, vol 1601. Springer, Cham. https://doi.org/10.1007/978-3-031-08971-8_36

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