The notion of full rough soft set, upper Soft set and lower Soft set are introduced here in a different manner. Various properties on rough soft set are studied with examples. We define rough soft subset and rough soft equal set with examples. Moreover rough soft equality relation are introduced and properties are presented. Finally measure of roughness of soft set is defined and an algorithm is presented to solve decision making problem by the application of rough soft set. Manamohan Maharana | Dr. Debadutta Mohanty "Concept on Rough Soft Set and Its Application in Decision Making" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-5 | Issue-6 , October 2021, URL: https://www.ijtsrd.com/papers/ijtsrd47531.pdf Paper URL : https://www.ijtsrd.com/computer-science/artificial-intelligence/47531/concept-on-rough-soft-set-and-its-application-in-decision-making/manamohan-maharana
International Journal of Trend in Scientific Research and Development (IJTSRD)
Volume 5 Issue 6, September-October 2021 Available Online: www.ijtsrd.com e-ISSN: 2456 – 6470
@ IJTSRD | Unique Paper ID – IJTSRD47531 | Volume – 5 | Issue – 6 | Sep-Oct 2021
Page 220
Concept on Rough Soft Set and Its Application in Decision Making
Manamohan Maharana
1
; Dr. Debadutta Mohanty
2
1Department of Mathematics, M.P.C. College, Baripada, Odisha, India
2Department of Mathematics, Seemanta Mahavidyalaya, Jharpokharia, Mayurbhanj, Odisha, India
ABSTRACT
The notion of full rough soft set, upper Soft set and lower Soft set are
introduced here in a different manner. Various properties on rough
soft set are studied with examples. We define rough soft subset and
rough soft equal set with examples. Moreover rough soft equality
relation are introduced and properties are presented. Finally measure
of roughness of soft set is defined and an algorithm is presented to
solve decision making problem by the application of rough soft set.
KEYWORDS: rough set, soft set, rough soft set, upper soft set and
lower soft set, rough soft subset, rough soft equity relation, measure of
roughness
How to cite this paper: Manamohan
Maharana | Dr. Debadutta Mohanty
"Concept on Rough Soft Set and Its
Application
in Decision Making"
Published
in
International
Journal of Trend in
Scientific Research
and Development
(ijtsrd),
ISSN:
2456-6470,
Volume-5 | Issue-6,
October 2021, pp.220-226, URL:
www.ijtsrd.com/papers/ijtsrd47531.pdf
Copyright © 2021 by author (s) and
International Journal of Trend in
Scientific Research and Development
Journal. This is an
Open Access article
distributed under the
terms of
the Creative Commons
Attribution License (CC BY 4.0)
(http://creativecommons.org/licenses/by/4.0)
1. INTRODUCTION
Methods in classical mathematics are not successful
to solve various types of uncertainties problems in
economics, engineering, environme