The partition of indeterminacy function of the neutrosophic set into the contradiction part and the ignorance part represent the quadripartitioned single valued neutrosophic set.In this work,the new concept of quadrip...The partition of indeterminacy function of the neutrosophic set into the contradiction part and the ignorance part represent the quadripartitioned single valued neutrosophic set.In this work,the new concept of quadripartitioned bipolar single valued neutrosophic graph is established,and the operations on it are studied.The Cartesian product,cross product,lexicographic product,strong product and composition of quadripartitioned bipolar single valued neutrosophic graph are investigated.The proposed concepts are illustrated with examples.展开更多
In general,ordered algebraic structures,particularly ordered semigroups,play an important role in fuzzification in many applied areas,such as computer science,formal languages,coding theory,error correction,etc.Nowada...In general,ordered algebraic structures,particularly ordered semigroups,play an important role in fuzzification in many applied areas,such as computer science,formal languages,coding theory,error correction,etc.Nowadays,the concept of ambiguity is important in dealing with a variety of issues related to engineering modeling problems,network theory,decision-making problems in real-life situations,and so on.Several theories have been developed by various researchers to overcome the difficulties that arise from uncertainty,including fuzzy sets,intuitionistic fuzzy sets,probability,softsets,neutrosophic sets,andmanymore.Inthispaper,we focus solelyonneutrosophic set theory.In ordered semigroups,we define and investigate the properties of neutrosophicκ-ideals and neutrosophicκ-interior ideals.We also use neutrosophicκ-ideals and neutrosophicκ-interior ideals to characterize ordered semigroups.展开更多
基金the Taif University Researchers Supporting Project(TURSP-2020/246),Taif University,Taif,Saudi Arabia.
文摘The partition of indeterminacy function of the neutrosophic set into the contradiction part and the ignorance part represent the quadripartitioned single valued neutrosophic set.In this work,the new concept of quadripartitioned bipolar single valued neutrosophic graph is established,and the operations on it are studied.The Cartesian product,cross product,lexicographic product,strong product and composition of quadripartitioned bipolar single valued neutrosophic graph are investigated.The proposed concepts are illustrated with examples.
基金The authors are grateful to the anonymous referees for careful checking of the details and for helpful comments that improved this paper.This work was supported by the Taif University Researchers Supporting Project(TURSP-2020/246),Taif University,Taif,Saudi Arabia.
文摘In general,ordered algebraic structures,particularly ordered semigroups,play an important role in fuzzification in many applied areas,such as computer science,formal languages,coding theory,error correction,etc.Nowadays,the concept of ambiguity is important in dealing with a variety of issues related to engineering modeling problems,network theory,decision-making problems in real-life situations,and so on.Several theories have been developed by various researchers to overcome the difficulties that arise from uncertainty,including fuzzy sets,intuitionistic fuzzy sets,probability,softsets,neutrosophic sets,andmanymore.Inthispaper,we focus solelyonneutrosophic set theory.In ordered semigroups,we define and investigate the properties of neutrosophicκ-ideals and neutrosophicκ-interior ideals.We also use neutrosophicκ-ideals and neutrosophicκ-interior ideals to characterize ordered semigroups.
