Sum and scalar product of fuzzy subhyperspaces. (18th May 2020)

• Record Type: Journal Article
• Authors: Dehghan, O. R.
• Is Part Of: Journal of discrete mathematical sciences & cryptography. Volume 23:Number 4(2020)
• Page Start: 841
• Page End: 860
• Publication Date: 2020-05-18
• Subjects: 08A72 -- 20N20; Hyperoperation -- Hypervector space -- Fuzzy subset -- Fuzzy subhyperspace -- Linear transformation; Computer science -- Mathematics -- Periodicals; Cryptography -- Periodicals; Computer science -- Mathematics; Cryptography; Periodicals; 004.0151
• DOI: 10.1080/09720529.2019.1624061
• Languages: English
• ISSNs: 0972-0529

Abstract

Abstract: The aim of this paper is to study the properties of two operations, sum and scalar product, on fuzzy subsets of hypervector spaces. In this regards, some new equivalent conditions of fuzzy subhyperspaces are introduced based on these operations. Also, the behavior of sum and scalar product of fuzzy subhyperspaces under linear transformations are investigated.