A study of maximal and minimal ideals of n-refined neutrosophic rings
Journal Title: Journal of Fuzzy Extension & Applications - Year 2021, Vol 2, Issue 1
Abstract
If R is a ring, then Rn(I) is called a refined neutrosophic ring. Every AH-subset of Rn(I) has the form P = ∑ni=0 p i Ii= {a0+a1I+⋯+anIn: ai∈p i}, where p i are subsets of the classical ring R. The objective of this paper is to determine the necessary and sufficient conditions on p i which make P be an ideal of Rn(I). Also, this work introduces a full description of the algebraic structure and form for AH-maximal and minimal ideals in Rn(I).
Authors and Affiliations
Mohammad Abobala
Keywords
Related Articles
- EP ID EP692670
- DOI 10.22105/JFEA.2021.270647.1072
- Views 188
- Downloads 0
Fuzzy programming approach to Bi-level linear programming problems
In this study, we discussed a fuzzy programming approach to bi-level linear programming problems and their application. Bi-level linear programming is characterized as mathematical programming to solve decentralized prob...
Generalizations and alternatives of classical algebraic structures to neutroAlgebraic structures and antiAlgebraic structures
In this paper we present the development from paradoxism to neutrosophy, which gave birth to neutrosophic set and logic and especially to NeutroAlgebraic Structures (or NeutroAlgebras) and AntiAlgebraic Structures (or An...
Analyzing the barriers of organizational transformation by using fuzzy SWARA
The crucial role of bureaucracy in the economic, political, socio-cultural and political structures, and its impact in achieving the goals of organization is so important that in order to achieve the development, change...
A new decision making approach for winning strategy based on muti soft set logic
We introduce a new concept of certainty and coverage of a parameter of the soft set and present a new decision making approach for the soft set over the universe using the certainty of a parameter. Also, we point out the...
Using interval arithmetic for providing a MADM approach
The VIKOR method was developed for Multi-Criteria Decision Making (MCDM). It determines the compromise ranking list and the compromise solution obtained with the initial weights. This method focuses on ranking and select...