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Publication Date

Thu Dec 31 2020

Journal Name

Journal Of New Theory

Volume

33

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Brief review of soft sets and its application in coding theory

Samy Mohammed

Fatema Faisal

Hussein Ali

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In this paper, we will focus to one of the recent applications of PU-algebras in the coding theory, namely the construction of codes by soft sets PU-valued functions. First, we shall introduce the notion of soft sets PU-valued functions on PU-algebra and investigate some of its related properties.Moreover, the codes generated by a soft sets PU-valued function are constructed and several examples are given. Furthermore, example with graphs of binary block code constructed from a soft sets PU-valued function is constructed.

Publication Date

Wed Oct 31 2018

Journal Name

Iraqi Journal Of Science

Some application of coding theory in the projective plane of order three

projective plane

coding theory

incidence matrix

Najm A. M.

Raad I. K.

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The main aim of this paper is to introduce the relationship between the topic of coding theory and the projective plane of order three. The maximum value of size of code over finite field of order three and an incidence matrix with the parameters, (length of code), (minimum distance of code) and (error-correcting of code ) have been constructed. Some examples and theorems have been given.

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Publication Date

Sat May 01 2021

Journal Name

Journal Of Physics: Conference Series

g-Closed Soft Sets in Soft Closure Spaces

R N

S T

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Abstract<p>The aim of the present work is to define a new class of closed soft sets in soft closure spaces, namely, generalized closed soft sets (<italic>gc</italic>-soft sets, for short) which are defined over an initial universe set with a fixed set of parameters. This new class is a generalization to the class of closed soft sets. A necessary condition for a <italic>gc</italic>-soft set to be a soft closed is also obtainable. Moreover, the union and intersection of two <italic>gc</italic>-soft sets are discussed. Besides, some properties of <italic>gc</italic>-soft sets in the product soft closure spaces are also studied. Also, as an application of <jat></jat></p> ... Show More

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Publication Date

Sun May 17 2020

Journal Name

Iraqi Journal Of Science

On Soft bc-Open Sets in Soft Topological Spaces

soft Æ„-open set

soft Æ„c-open set

soft Æ„c- nbd

soft Æ„c-interior

soft Æ„c-closure

Saif Z.

Adiya K.

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In this paper, we offer and study a novel type generalized soft-open sets in topological spaces, named soft Æ„c-open sets. Relationships of this set with other types of generalized soft-open sets are discussed, definitions of soft Æ„ , soft bc- closure and soft bc- interior are introduced, and its properties are investigated. Also, we introduce and explore several characterizations and properties of this type of sets.

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Publication Date

Sat Jan 30 2021

Journal Name

Iraqi Journal Of Science

Signal Soft Sets for Atoms Modeling and Signal Soft Topology

Atom

Anti-atom

Soft set

Signal soft set

Operations on signal soft set

Signal soft topology

Majd Hamid

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In this paper we define a signal soft set as a mathematical tool to represent and study atoms, anti-atoms, electrons, anti-electrons, protons, and anti-protons, and generate a signal soft topology, with an example of signal soft topology on H₂O.

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(3)

Publication Date

Sun Nov 17 2019

Journal Name

Journal Of Interdisciplinary Mathematics

Generalized closed fuzzy soft sets in Čech fuzzy soft closure spaces

Rasha Naser

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(5)

Publication Date

Tue Jan 25 2022

Journal Name

Iraqi Journal Of Science

Semi (1, 2)*-Maximal Soft (1, 2)*-Pre-Open Sets and Semi (1, 2)*-Minimal Soft (1, 2)*-Pre-Closed Sets In Soft Bitopological Spaces

(1

2)*-maximal soft (1

2)*-pre-open set

(1

2)*-minimal soft (1

2)*-preopen sets

(1

2)*-maximal soft (1

2)*-pre-closed sets

(1

2)*-minimal soft (1

2)*- pre-closed sets

semi (1

2)*-maximal soft (1

2)*-pre-open sets

semi (1

2)*-minimal soft (1

2)*-pre-c

Sabiha I.

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In this paper, we introduce and study new types of soft open sets and soft closed
sets in soft bitopological spaces (X,~ ,~ ,E) 1 2   , namely, (1,2)*-maximal soft open
sets, (1,2)*-maximal soft (1,2)*-pre-open sets, semi (1,2)*-maximal soft (1,2)*-preopen
sets, (1,2)*-maximal soft closed sets, (1,2)*-maximal soft (1,2)*-pre-closed
sets, (1,2)*-minimal soft open sets, (1,2)*-minimal soft (1,2)*-pre-open sets, (1,2)*-
minimal soft closed sets, (1,2)*-minimal soft (1,2)*-pre-closed sets, and semi (1,2)*-
minimal soft (1,2)*-pre-closed sets. Also, properties and the relation among these
concepts have been studied.

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Publication Date

Mon Apr 11 2016

Journal Name

Annals Of Fuzzy Mathematics And Informatics

Some notions on convex soft sets

Saba Naser

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Publication Date

Wed Mar 28 2018

Journal Name

Iraqi Journal Of Science

Weak Forms of Soft (1, 2)*-Omega Open Sets in Soft Bitopological Spaces

Soft (1

2)*-ω-open set

soft (1

2)*-α-ω-open set

soft (1

2)*-pre- ω-open set

soft (1

2)*-b-ω-open set and soft (1

2)*-β-ω-open set

Sabiha I.

Asaad Adel

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In this paper, we introduce and study new classes of soft open sets in soft bitopological spaces called soft (1,2)*-omega open sets and weak forms of soft (1,2)*-omega open sets such as soft (1,2)*-α-ω-open sets, soft (1,2)*-pre-ω-opensets, soft (1,2)*-b-ω-open sets, and soft (1,2)*-β-ω-open sets. Moreover; some basic properties and the relation among these concepts and other concepts also have been studied.

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Publication Date

Wed Mar 01 2023

Journal Name

Baghdad Science Journal

Momentum Ranking Function of Z-Numbers and its Application to Game Theory

Momentum Ranking Function

z-Games

z-number

z-payoff matrix

z-saddle point

K.

G.

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After Zadeh introduced the concept of z-number scientists in various fields have shown keen interest in applying this concept in various applications. In applications of z-numbers, to compare two z-numbers, a ranking procedure is essential. While a few ranking functions have been already proposed in the literature there is a need to evolve some more good ranking functions. In this paper, a novel ranking function for z-numbers is proposed- "the Momentum Ranking Function"(MRF). Also, game theoretic problems where the payoff matrix elements are z-numbers are considered and the application of the momentum ranking function in such problems is demonstrated.

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Publication Date

Fri Dec 01 2023

Journal Name

Russian Journal Of Bioorganic Chemistry

A Brief Review on Schiff Base, Synthesis, and Their Antimicrobial Activities

Ruaa M.

Sanaa A.

Rana Abid

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