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MULTIPLE SETS: A UNIFIED APPROACH TOWARDS MODELLING VAGUENESS AND MULTIPLICITY

Year 2016, Issue: 11, 29 - 53, 01.05.2016

Abstract

Abstaract−Multiple set is a new mathematical model to represent vagueness together with multiplicity. Multiple sets are generalization of fuzzy sets, multisets, fuzzy multisets and multi fuzzy sets. In this paper, a modified version for the definition of multiple sets is given and it is shown that the revised definition also satisfies all fundamental properties satisfied by the earlier definition. The notion of αi− cut and strong α− cut are defined and their properties are studied. Finally, multiple complement function is defined and some results related to it are obtained

Year 2016, Issue: 11, 29 - 53, 01.05.2016

Abstract

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Other ID JA92AF37FR
Journal Section Collection
Authors

Shijina Vadi This is me

Sunil Jacob John This is me

Anitha Sara Thomas This is me

Publication Date May 1, 2016
Submission Date May 1, 2016
Published in Issue Year 2016 Issue: 11

Cite

APA Vadi, S., John, S. J., & Thomas, A. S. (2016). MULTIPLE SETS: A UNIFIED APPROACH TOWARDS MODELLING VAGUENESS AND MULTIPLICITY. Journal of New Theory(11), 29-53.
AMA Vadi S, John SJ, Thomas AS. MULTIPLE SETS: A UNIFIED APPROACH TOWARDS MODELLING VAGUENESS AND MULTIPLICITY. JNT. May 2016;(11):29-53.
Chicago Vadi, Shijina, Sunil Jacob John, and Anitha Sara Thomas. “MULTIPLE SETS: A UNIFIED APPROACH TOWARDS MODELLING VAGUENESS AND MULTIPLICITY”. Journal of New Theory, no. 11 (May 2016): 29-53.
EndNote Vadi S, John SJ, Thomas AS (May 1, 2016) MULTIPLE SETS: A UNIFIED APPROACH TOWARDS MODELLING VAGUENESS AND MULTIPLICITY. Journal of New Theory 11 29–53.
IEEE S. Vadi, S. J. John, and A. S. Thomas, “MULTIPLE SETS: A UNIFIED APPROACH TOWARDS MODELLING VAGUENESS AND MULTIPLICITY”, JNT, no. 11, pp. 29–53, May 2016.
ISNAD Vadi, Shijina et al. “MULTIPLE SETS: A UNIFIED APPROACH TOWARDS MODELLING VAGUENESS AND MULTIPLICITY”. Journal of New Theory 11 (May 2016), 29-53.
JAMA Vadi S, John SJ, Thomas AS. MULTIPLE SETS: A UNIFIED APPROACH TOWARDS MODELLING VAGUENESS AND MULTIPLICITY. JNT. 2016;:29–53.
MLA Vadi, Shijina et al. “MULTIPLE SETS: A UNIFIED APPROACH TOWARDS MODELLING VAGUENESS AND MULTIPLICITY”. Journal of New Theory, no. 11, 2016, pp. 29-53.
Vancouver Vadi S, John SJ, Thomas AS. MULTIPLE SETS: A UNIFIED APPROACH TOWARDS MODELLING VAGUENESS AND MULTIPLICITY. JNT. 2016(11):29-53.


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