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Covering-Based Pessimistic Multigranular Approximate Rough Equivalences and Approximate Reasoning

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Smart Computing and Informatics

Part of the book series: Smart Innovation, Systems and Technologies ((SIST,volume 77))

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Abstract

The multigranular rough set (MGRS) models of Qian et al. were extended to put forth covering-based multigranular rough sets (CBMGRS) by Liu et al. in 2012. The equality of sets, which is restrictive and redundant, was extended first in Pawlak (Rough sets: theoretical aspects of reasoning about data. Kluwer, London, 1991) and subsequently in Tripathy (Int J Adv Sci Technol 31:23–36, 2011) to propose four types of rough set-based approximate equalities. These basic concepts of rough equalities have been extended to several generalized rough set models. In this paper, covering-based pessimistic multigranular (CBPMG) approximate rough equivalence is introduced and several of their properties are established. Real life examples are taken for constructing counter examples and also for illustration. We have also discussed how these equalities can be applied in approximate reasoning and our latest proposal is no exception.

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Authors and Affiliations

  1. SCOPE, VIT University, Vellore, Tamilnadu, India

    B. K. Tripathy

  2. SCS Autonomous College, Puri, Odisha, 752001, India

    Suvendu K. Parida

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  1. B. K. Tripathy
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  2. Suvendu K. Parida
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Correspondence to B. K. Tripathy .

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Editors and Affiliations

  1. Department of Computer Science and Engineering, PVP Siddhartha Institute of Technology, Vijayawada, Andhra Pradesh, India

    Suresh Chandra Satapathy

  2. Department of Electronics and Communication Engineering, Shri Ramswaroop Memorial Group of Professional Colleges, Lucknow, Uttar Pradesh, India

    Vikrant Bhateja

  3. Electronics and Communication Sciences Unit, Indian Statistical Institute, Kolkata, West Bengal, India

    Swagatam Das

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Tripathy, B.K., Parida, S.K. (2018). Covering-Based Pessimistic Multigranular Approximate Rough Equivalences and Approximate Reasoning. In: Satapathy, S., Bhateja, V., Das, S. (eds) Smart Computing and Informatics . Smart Innovation, Systems and Technologies, vol 77. Springer, Singapore. https://doi.org/10.1007/978-981-10-5544-7_30

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  • DOI: https://doi.org/10.1007/978-981-10-5544-7_30

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  • Online ISBN: 978-981-10-5544-7

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