Nested n-radical fuzzy general hyperideals

Abstract

The purpose of this paper is to introduce the notion of nested (additive)n-radical fuzzy subsets in general Krasner hyperrings and to analyze some conditions such as fuzzy general Krasner hyperideals in general Krasner hyperrings. To realize the article’s goals, we introduce a concept of (additive)n-radical subsets and show how to be a general Krasner hyperideal in general Krasner hyperrings. The main method, in this research, is based on level subsets that are related between n-radical general Krasner hyperideals and n-radical fuzzy general Krasner hyperideals. As a result of the research, is construction of nested n-radical fuzzy general Krasner hyperideals via the power of fuzzy Krasner hyperideals based on the hyperproduct of fuzzy general Krasner hyperideals. The paper includes implications for the development of prime fuzzy general Krasner hyperideals, such that extends prime fuzzy general Krasner hyperideals to the concept of radical fuzzy general Krasner hyperideals. The new conception of nested n-radical fuzzy general Krasner hyperideals was given for the first time in this paper. Also, we find a method that can compute the n-radical fuzzy general Krasner hyperideals via the maximum triangular conorm and fuzzy values, for simplicity.