METRICS AND METRIC SPACES OF SOFT MULTISETS

Authors

Keywords:

Metric, Multiset, Ordering, Soft multiset, Soft set

Abstract

The theory of Soft set found applications in so many fields including multiset theory to obtain soft multisets. These theories together with some of their properties were presented. Moreover, considering the various applications of metric spaces in various fields; Metrics and metric spaces of soft multisets with some of their attributes were introduced. However, it was discovered that only pseudo-metric spaces could favorably be formulated. Moreover, soft multiset ordering was also presented.

Dimensions

Ali,M. I., Feng, F., Liu, X., Min, W. K. and Shabir, M. (2009). On some new operations in soft set theory, Computers and Mathematics with Applications 57, 1547–1553.

Alkhazaleh, S, Salleh, A. R. and Hassan, N. H. (2011). Soft multisets theory, Applied Mathematical Sciences 72 (5) (2011) 3561–3573.

Babitha, K. V. and John,S. J. (2013). On soft multi sets, Annals of Fuzzy Mathematics and Informatics 5 (1) 35–44

Blizard, W. D. (1989). Multiset Theory, Notre Dame Journal of Formal Logic 30 (1) 36 – 66.

Girish and Sunil J. J. (2009). General relations between partially ordered multisets and their chains and antichains, Mathematical Communications 14 (2) 193 – 205.

Hickman, J. L., A note on the concept of multiset, Bulletin of the Australian Mathematical Society, 22 (1980) 211-217.

Ifetoye, O. O., Isah, A. I. and Tella, Y. (2022). Some Properties of Fuzzy Multigroups, FUDMA Journal of Sciences, 6 (1) (2022) 278 – 281.

Isah, A. I. (2019). Soft multiset in a new perspective, Annals of Fuzzy Mathematics and Informatics, 18 (3) 309-315.

Isah, A. I. (2018). Some Properties of Soft Multiset, Science World Journal 13 (4) 44-46.

Maji, P. K., Biswas, R. and Roy, A. R. (2003). Soft Set Theory, Computers and Mathematics with Applications (45) 555-562.

Majumdar, P. (2012). Soft multisets, Journal of Mathematics and Computer Science 2 (6) 1700–1711.

Molodtsov, D. (1999). Soft set theory-First results, Computers and Mathematics with Applications, 37, 19-31.

Monro, G.P. (1987). The concept of multiset. Zeitschriftfür mathematische Logik und Grundlagen der mathematic [Mathematical Logic Quarterly] 33(2), 171–178.

Neog, T. J. and Sut, D. K. (2012). On soft multisets theory, International Journal of Advanced Computer and Mathematical Sciences 3 (3)295–304

Osmanoglu, I. and Tokat, D. (2014). Compact soft multi spaces, European Journal Of Pure And Applied Mathematics 7 (1) 97–108

Singh, D. and Isah, A. I. (2016). Mathematics of Multisets: a unified Approach, Afrika Matematika, 27, 1139-1146.

Tokat, D. and Osmanoglu, I. (2013). Connectedness on soft multi topological spaces, Journal of New Results in Science (2) 8–18.

Tokat, D., Osmanoglu, I. and Ucok, Y. (2015). On soft multi semi-continuous functions, Annals of Fuzzy Mathematics and Informatics 10 (5) 691–704.

Sezgin, A. and Atagun, A. O. (2011). On operations of soft sets, Computers and mathematics with applications, 60, 1840-1849.

Published

28-02-2023

How to Cite

Isah, A. (2023). METRICS AND METRIC SPACES OF SOFT MULTISETS. FUDMA JOURNAL OF SCIENCES, 7(1), 188-192. https://doi.org/10.33003/fjs-2023-0701-1275

Issue

Vol. 7 No. 1 (2023): FUDMA Journal of Sciences - Vol. 7 No. 1

Section

Research Articles
Copyright & Licensing

How to Cite

Isah, A. (2023). METRICS AND METRIC SPACES OF SOFT MULTISETS. FUDMA JOURNAL OF SCIENCES, 7(1), 188-192. https://doi.org/10.33003/fjs-2023-0701-1275