Design of Fuzzy Membership Functions for Sagun & Nirgun Attributes in the Shivmahapuran

Author

Ankit Kumar, Dr. Vinesh Kumar

Abstract

 Shivmahapuran is one of the leading Puranic documents in Hindu philosophy with extensive discussion on the duality of the absolute – both Nirgun (formless, attriute less, transcendent) and Sagun (formful, having attributes, immanent). The Nirgun and Sagun forms of Lord Shiva has been discussed throughout in philosophical language and theology, however, new computer modeling language of Fuzzy Set Theory is a concrete method for modeling philosophical ambivalence and graded membership. In this research we attempt for a new formulation in this area. Designing specific formal fuzzy membership function for Sagun and Nirgun attributes, by defining a philosophical Universe of Discourse (X), where the terms of Sagun and Nirgun have been formally translated to triangular, trapezoidal, exponential etc membership functions for the degree of manifest immanence vs transcendent formlessness, and interweaving the ancient Vedic-Puranic metaphysics, and computational intelligence which provides the scope for semantic processing of sacred scripts.

Keywords

Shivmahapuran, Sagun, Nirgun, Fuzzy Logic, Membership functions, Metaphysics, Computational Theology.

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References

1)Senarath, S. (2018). Metaphysical Structures in Puranic Literature. Journal of Hindu Studies, 11(2), 145-168.
2)Klostermaier, K. K. (2007). A Survey of Hinduism (3rd ed.). State University of New York Press.
3)Bhattacharyya, H. (2006). Puranic Encounters: Ontology and Hermeneutics in Shaivism. Oxford University Press, Kolkata.
4)Lee, K. H. (2005). First Course on Fuzzy Theory and Applications. Springer Science & Business Media.
5)Ross, T. J. (2004). Fuzzy Logic with Engineering Applications (2nd ed.). Wiley, Chichester.
6)Flood, G. (Ed.). (2003). The Blackwell Companion to Hinduism. Blackwell Publishing, Oxford.
7)Zimmerman, H. J. (2001). Fuzzy Set Theory-and Its Applications (4th ed.). Springer, Dordrecht.
8)Dubois, D., & Prade, H. (Eds.). (2000).
9)Fundamentals of Fuzzy Sets.
10)The Handbooks of Fuzzy Sets Series, Kluwer Academic Publishers.
11)Dhavamony, M. (1999). Hindu-Christian Dialogue: Theological Soundings and Perspectives. Rodopi, Amsterdam
12)Doniger, W. (1998). Splitting Hair: The Siva-Purana and Hindu Mythology. University of Chicago Press
13)Flood, G. (1996). An Introduction to Hinduism. Cambridge University Press, Cambridge.
14)Klir, G. J., & Yuan, B. (1995). Fuzzy Sets and Fuzzy Logic: Theory and Applications. Prentice Hall, New Jersey.
15)Kosko, B. (1993). Fuzzy Thinking: The New Science of Fuzzy Logic. Hyperion, New York.
16)Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8(3), 338-353.
17)Danilou, A. (1964). The Myths and Gods of India. Inner Traditions, Vermont.
18)Shastri, J. L. (1950). The Shivmahapuran (Ancient Indian Tradition and Mythology Series). Motilal Banarsidass, Delhi

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