By means of soft intersection-union sum and product, we make a new approach to the hemiring theor... more By means of soft intersection-union sum and product, we make a new approach to the hemiring theory via soft set theory with the concepts of soft union (h-ideals, h-bi-ideals, h-quasi-ideals and h-interior ideals). Also, we investigate some characteristics of h-semisimple and h-quasihemiregular hemirings using these kinds of soft union h-ideals.
Journal of Computational and Applied Mathematics, 2007
The problem of decision making in an imprecise environment has found paramount importance in rece... more The problem of decision making in an imprecise environment has found paramount importance in recent years. A novel method of object recognition from an imprecise multiobserver data has been presented here. The method involves construction of a Comparison Table from a fuzzy soft set in a parametric sense for decision making.
Computers & Mathematics with Applications, 2003
In this paper, the authors study the theory of soft sets mitiated by Molodtsov. The authors defin... more In this paper, the authors study the theory of soft sets mitiated by Molodtsov. The authors define equality of two soft sets, subset and super set of a soft set, complement of a soft set, null soft set, and absolute soft set with examples. Soft binary operations like AND, OR and also the operations of union, intersection are defined. DeMorgan's laws and a number of results are verified in soft set theory.
In this paper we study the concept of neutrosophic soft sets. Imposing some weights on the parame... more In this paper we study the concept of neutrosophic soft sets. Imposing some weights on the parameters considered we introduce here weighted neutrosophic soft sets. Some operations like union, intersection, complement, AND, OR etc. have been defined on this new concept. Some properties of these newly defined operations have also been verified .
Broumi and F.Smarandache introduced the concept of intuitionistic neutrosophic soft set as an ext... more Broumi and F.Smarandache introduced the concept of intuitionistic neutrosophic soft set as an extension of the soft set theory. In this paper we have applied the concept of intuitionistic neutrosophic soft set to rings theory .The notion of intuitionistic neutrosophic soft set over ring (INSSOR for short) is introduced and their basic properties have been investigated.The definitions of intersection, union, AND, and OR operations over ring (INSSOR) have also been defined. Finally, we have defined the product of two intuitionistic neutrosophic soft set over ring.
Keywords: Complex vague soft set Relations between complex vague soft sets Complex fuzzy set Vagu... more Keywords: Complex vague soft set Relations between complex vague soft sets Complex fuzzy set Vague soft set Fuzzy set a b s t r a c t Complex vague soft sets are essentially vague soft sets characterized by an additional parameter called the phase term which is defined over the set of complex numbers. In this study, we introduce and discuss the relations between complex vague soft sets. We present the definitions of the Cartesian product of complex vague soft sets and subsequently that of complex vague soft relations. The definition of the composition of complex vague soft sets is also provided. The notions of symmetric, transitive, reflexive and equivalence complex vague soft relations are then proposed and the algebraic properties of these concepts are verified. The relation between complex vague soft sets is then discussed in the context of a real-life problem: the relation between the financial indicators of the Chinese economy which are characterized by their degrees of influence on the financial indicators of the Malaysian economy, and the time required for the former to affect the latter. Interpretations of the results obtained from this example are then proposed by relating them to recent significant real-life events in the Chinese and Malaysian economies.
In this paper, we propose the concept of complex vague soft sets which are vague soft sets define... more In this paper, we propose the concept of complex vague soft sets which are vague soft sets defined in a complex setting. Based on this new concept we define some concepts related to this notion as well as some basic operations namely the complement, union, intersection, AND and OR. The basic properties and relevant laws pertaining to this concept such as the De Morgan's laws are also verified. We introduce the axiomatic definition of the distance function between two complex vague soft sets and subsequently define several distance measures between complex vague soft sets. Finally some of the algebraic properties of these distance measures are verified. Keywords: Complex vague soft set, complex fuzzy set, complex intuitionistic fuzzy set, vague soft set, fuzzy set
The decision making problems in an imprecise environment has found paramount importance in recent... more The decision making problems in an imprecise environment has found paramount importance in recent years. Here we consider an object recognition problem in an imprecise environment. The recognition strategy is based on multiobserver input parameter data set.
In this paper we study the concept of neutrosophic set of Smarandache. We have introduced this co... more In this paper we study the concept of neutrosophic set of Smarandache. We have introduced this concept in soft sets and defined neutrosophic soft set. Some definitions and operations have been introduced on neutrosophic soft set. Some properties of this concept have been established.
The paramount importance of decision making problem in an imprecise environment is becoming very ... more The paramount importance of decision making problem in an imprecise environment is becoming very much significant in recent years. In this paper we have studied weighted neutrosophic soft sets which is a hybridization of neutrosophic sets with soft sets corresponding to weighted parameters. We have considered here a multicriteria decision making problem as an application of weighted neutrosophic soft sets.
New operations on intuitionistic fuzzy soft sets have been introduced in this paper. Some results... more New operations on intuitionistic fuzzy soft sets have been introduced in this paper. Some results relating to the properties of these operations have been established. An example has also been introduced as an application of these operations.
this paper, we apply the theory of soft sets to solve a decision making problem using rough mathe... more this paper, we apply the theory of soft sets to solve a decision making problem using rough mathematics.
this paper, we apply the theory of soft sets to solve a decision making problem using rough mathe... more this paper, we apply the theory of soft sets to solve a decision making problem using rough mathematics.
S.Broumi and F.Smarandache introduced the concept of intuitionistic neutrosophic soft set as an e... more S.Broumi and F.Smarandache introduced the concept of intuitionistic neutrosophic soft set as an extension of the soft set theory. In this paper we have applied the concept of intuitionistic neutrosophic soft set to rings theory .The notion of intuitionistic neutrosophic soft set over ring (INSSOR for short) is introduced and their basic properties have been investigated.The definitions of intersection, union, AND, and OR operations over ring (INSSOR) have also been defined. Finally, we have defined the product of two intuitionistic neutrosophic soft set over ring.
An application of intuitionistic fuzzy soft sets in a decision making problem
Abstract The importance of decision making problem in an imprecise environment is growing very si... more Abstract The importance of decision making problem in an imprecise environment is growing very significantly in recent years. An object recognition from an imprecise multiobserver data has been presented here. We apply the concept of intuitionistic fuzzy ...
By means of soft intersection-union sum and product, we make a new approach to the hemiring theor... more By means of soft intersection-union sum and product, we make a new approach to the hemiring theory via soft set theory with the concepts of soft union (h-ideals, h-bi-ideals, h-quasi-ideals and h-interior ideals). Also, we investigate some characteristics of h-semisimple and h-quasihemiregular hemirings using these kinds of soft union h-ideals.
Journal of Computational and Applied Mathematics, 2007
The problem of decision making in an imprecise environment has found paramount importance in rece... more The problem of decision making in an imprecise environment has found paramount importance in recent years. A novel method of object recognition from an imprecise multiobserver data has been presented here. The method involves construction of a Comparison Table from a fuzzy soft set in a parametric sense for decision making.
Computers & Mathematics with Applications, 2003
In this paper, the authors study the theory of soft sets mitiated by Molodtsov. The authors defin... more In this paper, the authors study the theory of soft sets mitiated by Molodtsov. The authors define equality of two soft sets, subset and super set of a soft set, complement of a soft set, null soft set, and absolute soft set with examples. Soft binary operations like AND, OR and also the operations of union, intersection are defined. DeMorgan's laws and a number of results are verified in soft set theory.
In this paper we study the concept of neutrosophic soft sets. Imposing some weights on the parame... more In this paper we study the concept of neutrosophic soft sets. Imposing some weights on the parameters considered we introduce here weighted neutrosophic soft sets. Some operations like union, intersection, complement, AND, OR etc. have been defined on this new concept. Some properties of these newly defined operations have also been verified .
Broumi and F.Smarandache introduced the concept of intuitionistic neutrosophic soft set as an ext... more Broumi and F.Smarandache introduced the concept of intuitionistic neutrosophic soft set as an extension of the soft set theory. In this paper we have applied the concept of intuitionistic neutrosophic soft set to rings theory .The notion of intuitionistic neutrosophic soft set over ring (INSSOR for short) is introduced and their basic properties have been investigated.The definitions of intersection, union, AND, and OR operations over ring (INSSOR) have also been defined. Finally, we have defined the product of two intuitionistic neutrosophic soft set over ring.
Keywords: Complex vague soft set Relations between complex vague soft sets Complex fuzzy set Vagu... more Keywords: Complex vague soft set Relations between complex vague soft sets Complex fuzzy set Vague soft set Fuzzy set a b s t r a c t Complex vague soft sets are essentially vague soft sets characterized by an additional parameter called the phase term which is defined over the set of complex numbers. In this study, we introduce and discuss the relations between complex vague soft sets. We present the definitions of the Cartesian product of complex vague soft sets and subsequently that of complex vague soft relations. The definition of the composition of complex vague soft sets is also provided. The notions of symmetric, transitive, reflexive and equivalence complex vague soft relations are then proposed and the algebraic properties of these concepts are verified. The relation between complex vague soft sets is then discussed in the context of a real-life problem: the relation between the financial indicators of the Chinese economy which are characterized by their degrees of influence on the financial indicators of the Malaysian economy, and the time required for the former to affect the latter. Interpretations of the results obtained from this example are then proposed by relating them to recent significant real-life events in the Chinese and Malaysian economies.
In this paper, we propose the concept of complex vague soft sets which are vague soft sets define... more In this paper, we propose the concept of complex vague soft sets which are vague soft sets defined in a complex setting. Based on this new concept we define some concepts related to this notion as well as some basic operations namely the complement, union, intersection, AND and OR. The basic properties and relevant laws pertaining to this concept such as the De Morgan's laws are also verified. We introduce the axiomatic definition of the distance function between two complex vague soft sets and subsequently define several distance measures between complex vague soft sets. Finally some of the algebraic properties of these distance measures are verified. Keywords: Complex vague soft set, complex fuzzy set, complex intuitionistic fuzzy set, vague soft set, fuzzy set
The decision making problems in an imprecise environment has found paramount importance in recent... more The decision making problems in an imprecise environment has found paramount importance in recent years. Here we consider an object recognition problem in an imprecise environment. The recognition strategy is based on multiobserver input parameter data set.
In this paper we study the concept of neutrosophic set of Smarandache. We have introduced this co... more In this paper we study the concept of neutrosophic set of Smarandache. We have introduced this concept in soft sets and defined neutrosophic soft set. Some definitions and operations have been introduced on neutrosophic soft set. Some properties of this concept have been established.
The paramount importance of decision making problem in an imprecise environment is becoming very ... more The paramount importance of decision making problem in an imprecise environment is becoming very much significant in recent years. In this paper we have studied weighted neutrosophic soft sets which is a hybridization of neutrosophic sets with soft sets corresponding to weighted parameters. We have considered here a multicriteria decision making problem as an application of weighted neutrosophic soft sets.
New operations on intuitionistic fuzzy soft sets have been introduced in this paper. Some results... more New operations on intuitionistic fuzzy soft sets have been introduced in this paper. Some results relating to the properties of these operations have been established. An example has also been introduced as an application of these operations.
this paper, we apply the theory of soft sets to solve a decision making problem using rough mathe... more this paper, we apply the theory of soft sets to solve a decision making problem using rough mathematics.
this paper, we apply the theory of soft sets to solve a decision making problem using rough mathe... more this paper, we apply the theory of soft sets to solve a decision making problem using rough mathematics.
S.Broumi and F.Smarandache introduced the concept of intuitionistic neutrosophic soft set as an e... more S.Broumi and F.Smarandache introduced the concept of intuitionistic neutrosophic soft set as an extension of the soft set theory. In this paper we have applied the concept of intuitionistic neutrosophic soft set to rings theory .The notion of intuitionistic neutrosophic soft set over ring (INSSOR for short) is introduced and their basic properties have been investigated.The definitions of intersection, union, AND, and OR operations over ring (INSSOR) have also been defined. Finally, we have defined the product of two intuitionistic neutrosophic soft set over ring.
An application of intuitionistic fuzzy soft sets in a decision making problem
Abstract The importance of decision making problem in an imprecise environment is growing very si... more Abstract The importance of decision making problem in an imprecise environment is growing very significantly in recent years. An object recognition from an imprecise multiobserver data has been presented here. We apply the concept of intuitionistic fuzzy ...
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