Proceedings of Sixth International Conference on Soft Computing for Problem Solving

This two-volume book gathers the proceedings of the Sixth International Conference on Soft Computing for Problem Solving (SocProS 2016), offering a collection of research papers presented during the conference at Thapar University, Patiala, India. Providi

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Kusum Deep Jagdish Chand Bansal Kedar Nath Das Arvind Kumar Lal Harish Garg Atulya K. Nagar Millie Pant Editors

Proceedings of Sixth International Conference on Soft Computing for Problem Solving SocProS 2016, Volume 1

Advances in Intelligent Systems and Computing Volume 546

Series editor Janusz Kacprzyk, Polish Academy of Sciences, Warsaw, Poland e-mail: [email protected]

About this Series The series “Advances in Intelligent Systems and Computing” contains publications on theory, applications, and design methods of Intelligent Systems and Intelligent Computing. Virtually all disciplines such as engineering, natural sciences, computer and information science, ICT, economics, business, e-commerce, environment, healthcare, life science are covered. The list of topics spans all the areas of modern intelligent systems and computing. The publications within “Advances in Intelligent Systems and Computing” are primarily textbooks and proceedings of important conferences, symposia and congresses. They cover significant recent developments in the field, both of a foundational and applicable character. An important characteristic feature of the series is the short publication time and world-wide distribution. This permits a rapid and broad dissemination of research results.

Advisory Board Chairman Nikhil R. Pal, Indian Statistical Institute, Kolkata, India e-mail: [email protected] Members Rafael Bello Perez, Universidad Central “Marta Abreu” de Las Villas, Santa Clara, Cuba e-mail: [email protected] Emilio S. Corchado, University of Salamanca, Salamanca, Spain e-mail: [email protected] Hani Hagras, University of Essex, Colchester, UK e-mail: [email protected] László T. Kóczy, Széchenyi István University, Győr, Hungary e-mail: [email protected] Vladik Kreinovich, University of Texas at El Paso, El Paso, USA e-mail: [email protected] Chin-Teng Lin, National Chiao Tung University, Hsinchu, Taiwan e-mail: [email protected] Jie Lu, University of Technology, Sydney, Australia e-mail: [email protected] Patricia Melin, Tijuana Institute of Technology, Tijuana, Mexico e-mail: [email protected] Nadia Nedjah, State University of Rio de Janeiro, Rio de Janeiro, Brazil e-mail: [email protected] Ngoc Thanh Nguyen, Wroclaw University of Technology, Wroclaw, Poland e-mail: [email protected] Jun Wang, The Chinese University of Hong Kong, Shatin, Hong Kong e-mail: [email protected]

More information about this series at http://www.springer.com/series/11156

Kusum Deep Jagdish Chand Bansal Kedar Nath Das Arvind Kumar Lal Harish Garg Atulya K. Nagar Millie Pant •





Editors

Proceedings of Sixth International Conference on Soft Computing for Problem Solving SocProS 2016, Volume 1

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Editors Kusum Deep Department of Mathematics Indian Institute of Technology Roorkee Roorkee India Jagdish Chand Bansal Department of Mathematics South Asian University New Delhi India Kedar Nath Das Department of Mathematics National Institute of Technology, Silchar Silchar, Assam India Arvind Kumar Lal School of Mathematics Th