ISSN : 2488-8648


International Journal of Basic Science and Technology

A publication of the Faculty of Science, Federal University Otuoke, Bayelsa State

Home About IJBST For Authors Issues Useful Downloads Contact


FAQ OJBST

Questions are asked and these questions need answers. This is the reason why this page is created to enable us share few worries!

×
Archive | ISSUE: , Volume: Apr-Jun-2024

On Some Algebraic Properties of the Root Set of Multisets and Soft Multisets


Author:Onoyima N. E, Isah, A. I, Tella, Y., Okolo, P.N

published date:2024-Apr-10

FULL TEXT in - | page 24 - 32

Abstract

In this paper, some inconsistencies in the use of operation symbols in msets, different from the classical set is first addressed. The paper presents a very important aspect of msets and soft multisets, which is their root set. It is established that the root set of the union of two msets is equal to the union of the two root msets, that the root set of the intersection of two msets is the same as the intersection of the root sets of the two msets, that the nth power of the union of two msets is equal to the union of the nth power of the individual msets, that the nth power of the intersection of two msets is the same as the intersection of the nth power of the two msets and several other results. Msets and soft msets are useful in many areas of mathematics, computer science, in decision making and such other areas that deals with uncertainties.

Keywords: msets, soft msets, soft sub mset, root set of soft mset, relative null

References

Alkhazaleh, S., Salleh, A. R. and Hassan, N. (2011). Soft Multisets Theory, Applied Mathematical Sciences, 5 (72) 3561-3573.

Babitha, K. V. and  John, S.J. (2013). On soft multi-set, Annals of Fuzzy Mathematics and    

Informatics, 5(1), 35-44.

Balami ,H.M. and Ibrahim, A.M. (2013). Soft multiset and its application in information system,

International Journal of scientific research and management, 1(9), 471-481.

Blizard, W. (1991). The Development of Mset Theory, Modern Logic, 1: 319-352.

Blizard, W. (1989).  Mset Theory, Notre Dame Journal of Formal Logic, 30, 36-66.

Cerf, V., Fenandez, E., Gostelow, K. and Volausky, S.(1971).  Formal control and low properties of a model of computation, Report ENG 7178, Computer Science Department, University of California, Los Angeles, CA, pp. 81,

Girish, K. P. and John, S. J. (2012). Mset Topologies Induced by Mset Relations, Information Science, 188: 298-313.

Isah, A. I. (2018). Some Properties of Soft Mset  Science World Journal Vol 13(No 4)

Isah, A. I. and Tella, Y. (2015). The Concept of Mset Category, British Journal of Mathematics &

Computer Science 9 (5) 427-437.

Kosters, W.A and Laros J. F. J. (2007). Metrics for mining msets, in: 27th SGAI International

Conference on Innovative Techniques and Applications of Artificial Intelligence, 2007, pp.293-303.

 

Knuth, D.E. (1981). The art of computer programming, vol 2: Semimimerical Algorithms. Second Edition, Addison-Wesley.

Miyamoto,   S. (2003). Two generalizations of msets, in: M. Inuiguchi, S. Tsumito eds., Rough Set theory and Granular computing, Springer, pp 59-68.

Mukherjee, A., Das, A. K. and Saha, A. (2014). Topological structure formed by soft multi sets and soft multi compact space, Annals of Fuzzy Mathematics and Informatics, 7(6), 919-933.

Osmanoglu, I. and Tokat, D. (2014). Compact Soft Multi Spaces, European Journal of Pure and

Applied Mathematics, 7 (1) 97-108.

Paun G. and Perez-Jimenez M.J. (2006), Membrane computing: brief introduction, recent results and applications, Bio Systems 85; 11-22.

Petrovsky, A. B. (1997). Structuring Techniques in Multiset Spaces. Springer. 174-184.

Singh, D. and Isah, A. I. (2015). Some Algebraic Structures of Languages, Journal of mathematics and computer science 14: 250-257.

Singh, D., Ibrahim, A. M., Yohanna, T. and Singh, J. N. (2008). A systematization of  fundamentals of msets 29 : pp 33- 48.

Syropoulos, A. (2011) . Mathematics of Multisets, GR-671 00 Xanith, GREECE.

Tokat ,D. and Osmanoglu, I. (2011). Soft multi set and soft multi topology, Nevsehir Universitesi Fen Bilimleri Enstitusu Dergisi Cilt, 2, 109-118.

Tokat, D., Osmanoglu, I. and Ücok, Y. (2015). On Soft Multi Semi-continuous Functions, Annals of Fuzzy Mathematics and Informatics, 10 (5) 691-704.

Wildberger, N. J. (2003). A new look at mset, School of Mathematics, UNSW Sydney 2052,Australia.

Yager, R.R (1986). On the theory of bags, Internat. J. Gen. Systems 13(1)  23-37.

 

FULL TEXT in - | page 24 - 32

Issue Archive

Volume 12 2026

Volume 11 2025

Volume 10 2024

Issue 2-Apr-Jun
Issue 1-Jan-Mar

Volume 9 2023

Issue 4-Oct-Dec
Issue 3-Jul-Sep
Issue 2-Apr-Jun
Issue 1-Jan-Mar

Volume 8 2022

Issue 4-Oct-Dec
Issue 3-Jul-Sep
Issue 2-Apr-Jun
Issue 1-Jan-Mar

Volume 7 2021

Issue 4-Oct-Dec
Issue 2-Apr-Jun
Issue 1-Jan-Mar

Volume 6 2020

Issue 4-Oct-Dec
Issue 3-Jul-Sep

Volume 5 2019

Issue 4-Oct-Dec
Issue 2-Apr-Jun
Issue 1-Jan-Mar

Volume 4 2018

Issue 4-Oct-Dec
Issue 3-Jul-Sep
Issue 2-Apr-Jun

Volume 3 2017

Issue 4-Oct-Dec
Issue 1-Jan-Mar

Volume 2 2016

Issue 4-Oct-Dec

Volume 1 2015

Issue 4-Oct-Dec


Copyright © International Journal of Basic Science and Technology | Faculty of Science, Federal University Otuoke 2019. All Rights Reserved.
P.M.B. 126, Yenagoa. Bayelsa state Nigeria