Fuzzy Set Approach to Study Appositives and Its Impact Due to Positional Alterations
Computing with Words (CWW) and Possibilistic Relational Universal Fuzzy (PRUF) are the two concepts which widely represent and measure the vaguely defined natural phenomenon. In this paper, we study the positional alteration of the phrases by which the impact of a natural language proposition gets affected and/or modified. We observe the gradations due to sensitivity/feeling of a statement towards the positional alterations. We derive the classification and modification of the meaning of words due to the positional alteration. We present the results with reference to set theoretic interpretations.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1316560Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 469
 G. Bojadziev, and M. Bojadziev, Fuzzy Sets, Fuzzy Logic, Applications, World Scientific Publishing Co. Pte. Ltd., Singapore, 1995.
 V. N. Huynh, T. B. Ho, and Y. Nakamori, “A parametric representation of linguistic hedges in Zadeh’s fuzzy logic”, International Journal of Approximation Reasoning, Elsevier Science Publishers, vol. 30, pp. 203-223, 2002.
 A. Kaufmann, Introduction to the Theory of Fuzzy Subsets, United Kingdom Edition, Academic Press, Inc, (London) limited, London, 1973.
 V. Nastase, J. Sayyad-Shirabad, M. Sokolova, and S. Szpakowicz, “Learning Noun-Modifier Semantic Relations with Corpus-based and WordNet-based Features”, American Association for Artificial Intelligence, pp. 781-786, 2006.
 C. Ho. Nguyen, and V. N. Huynh, “An algebraic approach to linguistic hedges in Zadeh’s fuzzy logic”, Fuzzy Sets and Systems, Elsevier Science Publishers, vol. 129, pp. 229-254, 2002.
 C. Ho. Nguyen, and W. Wechler, “Hedge Algebras: An algebraic approach to structure of sets of linguistic truth values”, Fuzzy Sets and Systems, Elsevier Science Publishers, vol. 35, pp. 281-293, 1990.
 T. Pathinathan, and E. Mike Dison, “PRUF-CW application in creative literature”, International Journal of Computing Sciences, vol. 03, pp. 715-721, 2014.
 T. Pathinathan, and K. Ponnivalavan, “Pentagonal Fuzzy Number”, International Journal of Computing Algorithm, vol. 03, pp. 1003-1005, 2014.
 T. Pathinathan, and K. Ponnivalavan, “Reverse order Triangular, Trapezoidal and Pentagonal Fuzzy Numbers”, Annals of Pure and Applied Mathematics, vol. 9, no. 1, pp. 107-117, 2015.
 T. Pathinathan, and Rajkumar, “Sieving out the Poor using Fuzzy Decision Making Tools”, Indian Journal of Science and Technology, vol. 8, no. 22, IPL0275, 2014.
 T. Pathinathan, S. Johnson Savarimuthu, and E. Mike Dison, “Extended VIKOR Method and its Application to Farming using Pentagonal Fuzzy Numbers”, Global Journal of Pure and Applied Mathematics, vol. 13, no. 9, pp. 6801-6826, 2017.
 T. Pathinathan, E. Mike Dison, and K. Ponnivalavan, “Semantic Ordering Relation – Applied to Agatha Christie Crime Thrillers”, International Journal of Computing Algorithm, vol. 03, pp. 1006-1015, 2014.
 T. Pathinathan, K. Ponnivalavan, and E. Mike Dison, “Different Types of Fuzzy Numbers and Certain Properties”, Journal of Computer and Mathematical Sciences, vol. 06, no. 11, pp. 631-651, 2015.
 A. Piegat, and M. Plucinski, “Fuzzy Number Addition with the Application of Horizontal Membership Functions”, The Scientific World Journal, Hindawi Publishing Corporation, vol. 2015, pp. 1-16, 2015.
 L. A. Zadeh, “Fuzzy Sets”, Information and Control, vol. 8, pp. 338-353, 1965.
 L. A. Zadeh,“A Fuzzy Set Theoretic Interpretation of Linguistic Hedges”, Journal of Cybernetics, vol. 2, no. 3, pp. 4-34, 1972.
 L. A. Zadeh, “A fuzzy-algorithmic approach to the definition of complex or imprecise concepts”, International Journal of Man-Machine Studies, vol. 8, pp. 249-291, 1976.