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Author: Ashraf Al-Quran
Publisher: Infinite Study
Published:
Total Pages: 11
ISBN-13:
DOWNLOAD EBOOKWe introduce the mapping on complex neutrosophic soft expert sets. Further, we investigated the basic operations and other related properties of complex neutrosophic soft expert image and complex neutrosophic soft expert inverse image of complex neutrosophic soft expert sets.
Author: Ashraf Al-Quran
Publisher: Infinite Study
Published:
Total Pages: 14
ISBN-13:
DOWNLOAD EBOOKThis paper presents a novel complex neutrosophic soft expert set (CNSES) concept. The range of values of CNSES is extended to the unit circle in the complex plane by adding an additional term called the phase term which describes CNSES’s elements in terms of the time aspect.
Author: Taha Yasin Öztürk
Publisher: Infinite Study
Published:
Total Pages: 15
ISBN-13:
DOWNLOAD EBOOKIn this paper, the concept of neutrosophic soft continuous mapping, neutrosophic soft open mapping, neutrosophic soft closed mapping and neutrosophic soft homeomorphism have been introduced along with the investigation of their several characteristics, and verified by proper examples.
Author: Memet ŞAHİN
Publisher: Infinite Study
Published:
Total Pages: 20
ISBN-13:
DOWNLOAD EBOOKSmarandache [1] firstly proposed the theory of neutrosophic set as a generalization of fuzzy set [7] and intuitionistic fuzzy set [6]. Unlike goal programming [5,8-10,12], neutrosophic set can deal with uncertain, indeterminate and incongruous information where the indeterminacy is quantified explicitly and truth-membership, indeterminacy membership and falsity-membership are completely independent. Molodtsov [13] introduced the notion of soft set which is free from the inadequacy of the parameterized tools of the former theories.
Author: Ashraf Al-Quran
Publisher: Infinite Study
Published:
Total Pages: 19
ISBN-13:
DOWNLOAD EBOOKIn the definition of the complex neutrosophic soft expert set (CNSES), parameters set is a classical set, and the parameters have the same degree of importance, which is considered as 1. This poses a limitation in modeling of some problems. This paper introduces the concept of fuzzy parameterized complex neutrosophic soft expert set (FP-CNSES) to handle this issue by assigning a degree of importance to each of the problem parameters. We further develop FP-CNSES by establishing the concept of weighted fuzzy parameterized complex neutrosophic soft expert set (WFP-CNSES) based on the idea that each expert has a relative weight. These new mathematical frameworks reduce the chance of unfairness in the decision making process. Some essential operations with their properties and relevant laws related to the notion of FP-CNSES are defined and verified. The notation of mapping on fuzzy parameterized complex neutrosophic soft expert classes is defined and some properties of fuzzy parameterized complex neutrosophic soft expert images and inverse images was investigated. FP-CNSES is used to put forth an algorithm on decision-making by converting it from complex state to real state and subsequently provided the detailed decision steps.Then, we provide the comparison of FP-CNSES to the current methods to show the ascendancy of our proposed method.
Author: Pabitra Kumar Maji
Publisher: Infinite Study
Published:
Total Pages: 12
ISBN-13:
DOWNLOAD EBOOKIn 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.
Author: Ashraf Al-Quran
Publisher: Infinite Study
Published:
Total Pages: 12
ISBN-13:
DOWNLOAD EBOOKIn this paper, we first introduce the concept of neutrosophic vague soft expert sets (NVSESs for short) which combines neutrosophic vague sets and soft expert sets to be more effective and useful. We also define its basic operations, namely complement, union, intersection, AND and OR along with illustrative examples, and study some related properties with supporting proofs. Lastly, this concept is applied to a decision making problem and its effectiveness is demonstrated using a hypothetical example.
Author: Said Broumi
Publisher: Infinite Study
Published:
Total Pages: 6
ISBN-13:
DOWNLOAD EBOOKIn this paper, we propose the complex neutrosophic soft set model, which is a hybrid of complex fuzzy sets, neutrosophic sets and soft sets.
Author: Vakkas Uluçay
Publisher: Infinite Study
Published:
Total Pages: 17
ISBN-13:
DOWNLOAD EBOOKSmarandache defined a neutrosophic set to handle problems involving incompleteness, indeterminacy, and awareness of inconsistency knowledge, and have further developed it neutrosophic soft expert sets. In this paper, this concept is further expanded to generalized neutrosophic soft expert set (GNSES). We then define its basic operations of complement, union, intersection, AND, OR, and study some related properties, with supporting proofs. Subsequently, we define a GNSES-aggregation operator to construct an algorithm for a GNSES decision-making method, which allows for a more efficient decision process. Finally, we apply the algorithm to a decision-making problem, to illustrate the effectiveness and practicality of the proposed concept. A comparative analysis with existing methods is done and the result affirms the flexibility and precision of our proposed method.
Author: Tuhin Bera
Publisher: Infinite Study
Published:
Total Pages: 13
ISBN-13:
DOWNLOAD EBOOKIn this paper, the concept of connectedness and compactness on neutrosophic soft topological space have been introduced along with the investigation of their several characteristics. Some related theorems have been established also. Then, the notion of neutrosophic soft continuous mapping on a neutrosophic soft topological space and it’s properties are developed here.
