On Isomorphism Theorems of Fn -Polygroups

on isomorphism theorems of fn -polygroups

in this paper, the notion of fuzzy n-polygroups (fn -polygroups) is introduced and some related properties are investigated. in this regards, the concepts of normal  f-subpolygroups and homomorphisms of fn-polygroups are adopted. also, the quotient of fn-polygroups by defining regular relations are studied. finally, the classical isomorphism theorems of groups are generalized to fn-polygroups p...

Note on Isomorphism Theorems of Hyperrings

Isomorphism theorems of fuzzy hypermodules

In this paper we define and study a new class of subfuzzy hypermodules of a fuzzy hypermodule that we call normal subfuzzy hypermodules. The connection between hypermodules and fuzzy hypermodules can be used as a tool for proving results in fuzzy hypermodules. In this manner we analyse three isomorphism theorems for fuzzy hypermodules.

On (fuzzy) Isomorphism Theorems of Soft Γ-hypermodules

To solve complicated problems in economics, engineering, and environment, we cannot successfully use classical methods because of various uncertainties typical for those problems. There are three theories: theory of probability, theory of fuzzy sets, and the interval mathematics which we can consider as mathematical tools for dealing with uncertainties. Uncertainties cannot be handled using tra...

Isomorphism theorems between models of mixed choice

We relate the so-called powercone models of mixed non-deterministic and probabilistic choice proposed by Tix, Keimel, Plotkin, Mislove, Ouaknine, Worrell, Morgan, and McIver, to our own models of previsions. Under suitable topological assumptions, we show that they are isomorphic. We rely on Keimel’s cone-theoretic variants of the classical HahnBanach separation theorems, using functional analy...

Soft hyperrings and their (fuzzy) isomorphism theorems

We introduce the notions of soft hyperrings, idealistic soft hyperrings, soft subhyperrings and soft hyperideals, and discuss some related properties. Moreover, we establish three (fuzzy) isomorphism theorems of soft hyperrings.