On Type-2 interval with interval mathematics and order relations: its applications in inventory control. Issue 3 (3rd July 2021)

• Record Type: Journal Article
• Authors: Rahman, Md Sadikur; Shaikh, Ali Akbar; Bhunia, Asoke Kumar
• Is Part Of: International journal of systems science. Volume 8:Issue 3(2021)
• Page Start: 283
• Page End: 295
• Publication Date: 2021-07-03
• Subjects: Type-1 interval -- Type-2 interval -- Type-2 interval arithmetic -- Type-2 interval order relations; Operations research -- Periodicals; Logistics -- Periodicals; System analysis -- Periodicals; 003
• DOI: 10.1080/23302674.2020.1754499
• Languages: English
• ISSNs: 2330-2674

Abstract

Abstract : Mathematical decision-making is an important criterion to take the appropriate decision regarding the representation of an imprecise parameter under uncertain situations. In the existing literature, it is observed that one such representation is interval representation. The goal of this paper is to introduce a new concept of Type-2 interval which might be used to represent the impreciseness appropriately. The definitions of arithmatical operations, interval functions and algebraic properties of Type-2 interval are proposed here. Then, the order relations between two Type-2 interval numbers are introduced and all the definitions are illustrated using some numerical examples. Finally, an application of Type-2 interval mathematics and order relation is made in the area of inventory control.