Amer Almyaly

Al Muthanna University · Department of Mathematics

span>This paper defined a new type of topology known as Interior topology. This work falls among the types of topology (such as general topology, supra topology, generalized topology, and filter) that are motivated by real-world concepts such as the orbits of planets around the sun, electron orbits around the nucleus, and so on. This form of topolo...

The beauty of topology is concentrated approximation by describing some of the perspicuity of topology. The purpose of this paper is to provide interconnection in topologized approximation spaces with a new filter and combine these two ideas into what are known filter αβ-topologized approximation spaces which define on [0,1]. This filter is defined...

In this paper the families and are fuzzy topologies on a nonempty set , is supra fuzzy topology on generated by and , and is the least upper fuzzy topology on generated by and . We study and compare among the concepts (compactness of fuzzy topologies and continuity, closeness and openness of mapping) of fuzzy Bitopology, Supra fuzzy topology and Le...

The backing of the fuzzy ideal is normal ideal in some ring and in same time there fuzzy set whose is not fuzzy ideal and it backing set is ideal, i.e., it crisp is normal ideal. Consequently, in this paper we constructing a fuzziness function which defined on fuzzy sets and assigns membership grade for every fuzzy set whose it backing set are cris...

We will use different way (in this work) from the existing methods in the literature which speaking in the separation of convex sets was carried out by hyperplanes. We are examining the behavior of convex set which is the domain of convex and coconvex polynomial. We simplify this term as (co)convex polynomial herein.

We will use different way (in this work) from the existing methods in the literature which speaking in the separation of convex sets was carried out by hyperplanes. We are examining the behavior of convex set which is the domain of convex and coconvex polynomial. We simplify this term as (co)convex polynomial herein. The main goal of the present wo...

We would like to disclose the following information about the paper: (The paper combines topology, approximation, and filter of N, so we put points for future discussion by interested people like study the Korovkin type theorems for the new supremum (filter supermum)).

In this paper, some inequalities for uncertain random variables are first proved based on the concept of chance measure and expected value operator.

The aim of this paper to define the convergent and cluster point of fuzzy Filter in fuzzy Bitopological, Supra fuzzy topological and least upper fuzzy topological space. We explain the equivalent and difference between the concepts in those spaces.

The aim of this work to define the fuzzy base and fuzzy local base in fuzzy bitopological spaces and so to compare between them and fuzzy base and fuzzy local base in fuzzy topological spaces.

The aim of this paper is to introduce the countability axioms in smooth fuzzy topological spaces (smooth fuzzy first countable, smooth fuzzy second countable and smooth fuzzy separable axiom) and try to find relations between them. Such that we will prove the following: smooth fuzzy first countable axiom ⃖ smooth fuzzy second countable axiom smooth...

In this paper, concept of smooth topology on fuzzy set has been introduced. We define smooth connected and smooth locally connected and proved those properties are not hereditary properties. We study the relation between these concepts.