Application of Soft Set Theory in Decision-making Problem with the Aid of Soft “AND-OPERATION” Approach
C. J. Okigbo *
Department of Mathematics and Statistics, Federal Polytechnic Nasarawa, Nigeria.
A. Ibrahim
Department of Mathematics, University of Abuja, Nigeria.
J. A. Chuseh
Department of Mathematics, University of Abuja, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
The term "soft set", FA over X ⊆ U, denoted by FAX or (F, A), is described in this research work as FAX= {(e, fAX (e): e ∈ E, fAX (e) ∈ SX }, along with a thorough theoretical analysis of the fundamental operations of soft sets, including intersection, extended intersection, union, restricted union, complement and relative complement, Null, and universal soft set. We were able to demonstrate the importance and practical use of soft sets in decision-making through the use of soft "AND-OPERATION" and tabular representation of soft sets. This paper’s major goal is to select the top two applicants from the pool of five airline interview by using the notation of the soft AND operation. We identified and demonstrated a few specific properties of how soft set operations work.
Keywords: Soft sets operations, AND_OPERATIONS