A study on pentagonal fuzzy number and its corresponding matrices

作     者：Apurba Panda Madhumangal Pal 

作者机构：Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore 721102 India 

出 版 物：《Pacific Science Review B: Humanities and Social Sciences》 

年 卷 期：2015年第1卷第3期

页      面：131-139页

主　　题：Pentagonal fuzzy number Arithmetic of pentagonal fuzzy number Pentagonal fuzzy matrices Pentagonal fuzzy determinant Nilpotent pentagonal fuzzy matrices 

摘      要：In this article, the notion of pentagonal fuzzy number (PFN) is introduced in a generalized way. A few articles have been published based on this topic, but they have some ambiguities in defining this type of fuzzy number. Here, we proposed the logical definition in developing a pentagonal fuzzy number, along with its arithmetic operations. Based on PFN, the structure of pentagonal fuzzy matrices (PFMs) is studied, together with their basic properties. Some special type of PFMs and their algebraic natures (trace of PFM, adjoint of PFM, determinant of PFM, etc.) are discussed in this article. Finally, the notion of nilpotent PFM, comparable PFM, and constant PFMs, with their many properties, are highlighted in this article.