› › New Operators On Interval Valued Neutrosophic Sets

New Operators on Interval Valued Neutrosophic Sets

Author : Abhijit Saha

Publisher : Infinite Study

Page : 10 pages

File Size : 19,30 MB

Release :

Category : Mathematics

ISBN :

Get eBook

Book Description

As a generalization of fuzzy sets and intuitionistic fuzzy sets, neutrosophic sets have been developed by F. Smarandache to represent imprecise, incomplete and inconsistent information existing in the real world. A neutrosophic set is characterized by a truth-membership function, an indeterminacy membership function, and a falsity-membership function. An interval neutrosophic set is an instance of a neutrosophic set, which can be used in real scientific and engineering applications. In this paper we have defined some new operators on interval valued neutrosophic sets and studied their properties. In addition, we give numerical examples to illustrate the defined operations.



Interval Neutrosophic Sets and Logic: Theory and Applications in Computing

Author : Haibin Wang

Publisher : Infinite Study

Page : 99 pages

File Size : 13,10 MB

Release : 2005

Category : Mathematics

ISBN : 1931233942

Get eBook

Book Description

This book presents the advancements and applications of neutrosophics, which are generalizations of fuzzy logic, fuzzy set, and imprecise probability. The neutrosophic logic, neutrosophic set, neutrosophic probability, and neutrosophic statistics are increasingly used in engineering applications (especially for software and information fusion), medicine, military, cybernetics, physics.In the last chapter a soft semantic Web Services agent framework is proposed to facilitate the registration and discovery of high quality semantic Web Services agent. The intelligent inference engine module of soft semantic Web Services agent is implemented using interval neutrosophic logic.



Operations on Interval Valued Neutrosophic Graphs

Author : BROUMI, S.

Publisher : Infinite Study

Page : 24 pages

File Size : 12,64 MB

Release :

Category :

ISBN :

Get eBook

Book Description

Combining the single valued neutrosophic set with graph theory, a new graph model emerges, called single valued neutrosophic graph.



Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set

Author : Florentin Smarandache

Publisher : Infinite Study

Page : 10 pages

File Size : 43,54 MB

Release : 2010-08-23

Category : Mathematics

ISBN :

Get eBook

Book Description

In this paper one generalizes the intuitionistic fuzzy set (IFS), paraconsistent set, and intuitionistic set to the neutrosophic set (NS). Many examples are presented. Distinctions between NS and IFS are underlined.



Neutrosophic Sets: An Overview

Author : Said Broumi

Publisher : Infinite Study

Page : 32 pages

File Size : 41,48 MB

Release :

Category :

ISBN :

Get eBook

Book Description

In this study, we give some concepts concerning the neutrosophic sets, single valued neutrosophic sets, interval-valued neutrosophic sets, bipolar neutrosophic sets, neutrosophic hesitant fuzzy sets, inter-valued neutrosophic hesitant fuzzy sets, refined neutrosophic sets, bipolar neutrosophic refined sets, multi-valued neutrosophic sets, simplified neutrosophic linguistic sets, neutrosophic over/off/under sets, rough neutrosophic sets, rough bipolar neutrosophic sets, rough neutrosophic hyper-complex set, and their basic operations.



Operators on Single Valued Trapezoidal Neutrosophic Numbers and SVTN-Group Decision Making

Author : Irfan Deli

Publisher : Infinite Study

Page : 20 pages

File Size : 10,47 MB

Release :

Category : Mathematics

ISBN :

Get eBook

Book Description

In this paper, we first introduce single valued trapezoidal neutrosophic (SVTN) numbers with their properties. We then define some operations and distances of the SVTN-numbers. Based on these new operations, we also define some aggregation operators, including SVTN-ordered weighted geometric operator, SVTN-hybrid geometric operator, SVTN-ordered weighted arithmetic operator and SVTN-hybrid arithmetic operator. We then examine the properties of these SVTN-information aggregation operators. By using the SVTN-weighted geometric operator and SVTN-hybrid geometric operator, we also define a multi attribute group decision making method, called SVTN-group decision making method. We finally give an illustrative example and comparative analysis to verify the developed method and to demonstrate its practicality and effectiveness.



Neutrosophic Sets and Systems, Book Series, Vol. 28, 2019

Author : Florentin Smarandache

Publisher : Infinite Study

Page : 302 pages

File Size : 21,5 MB

Release :

Category : Mathematics

ISBN :

Get eBook

Book Description

“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc



A two level interval valued neutrosophic AHP integrated TOPSIS methodology for post-earthquake fire risk assessment: An application for Istanbul

Author : Pelin Gulum

Publisher : Infinite Study

Page : 17 pages

File Size : 23,12 MB

Release :

Category : Mathematics

ISBN :

Get eBook

Book Description

Earthquakes are the leading natural disasters that seriously affect human life. Furthermore, earthquakes are natural disasters that have the ability to trigger a second disaster in addition to the damages they cause. From this point of view, post-earthquake fires are defined as the one of the most dangerous secondary disasters after an earthquake and often cause even more serious dangers. For this reason, government officials and relevant decision-makers should effectively determine post-earthquake fire risks and take necessary precautions. In this study, we consider the problem of determining the fire risk after an earthquake as a multi-criteria decision problem and present a two-level framework for risk assessment. The main and sub-criteria are determined by a detailed literature review and Modified Delphi method is employed to gain and consolidate expert opinions.



Interval Neutrosophic Sets and Their Application in Multicriteria Decision Making Problems

Author : Hong-yu Zhang

Publisher : Infinite Study

Page : 15 pages

File Size : 34,46 MB

Release :

Category : Mathematics

ISBN :

Get eBook

Book Description

As a generalization of fuzzy sets and intuitionistic fuzzy sets, neutrosophic sets have been developed to represent uncertain, imprecise, incomplete, and inconsistent information existing in the real world. And interval neutrosophic sets (INSs) have been proposed exactly to address issues with a set of numbers in the real unit interval, not just a specific number.However, there are fewer reliable operations for INSs, as well as the INS aggregation operators and decisionmakingmethod. For this purpose, the operations for INSs are defined and a comparison approach is put forward based on the related research of interval valued intuitionistic fuzzy sets (IVIFSs) in this paper. On the basis of the operations and comparison approach, two interval neutrosophic number aggregation operators are developed. Then, amethod formulticriteria decisionmaking problems is explored applying the aggregation operators. In addition, an example is provided to illustrate the application of the proposed method.



Neutrosophic Sets and Systems, Vol. 28, 2019

Author : Florentin Smarandache

Publisher : Infinite Study

Page : 304 pages

File Size : 27,5 MB

Release :

Category : Mathematics

ISBN :

Get eBook

Book Description

“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Some articles from this issue: Reduction of indeterminacy of gray-scale image in bipolar neutrosophic domain, Single Valued Neutrosophic Coloring, An Integrated Neutrosophic and MOORA for Selecting Machine Tool, Plithogenic Fuzzy Whole Hypersoft Set, Construction of Operators and their Application in Frequency Matrix Multi Attribute Decision Making Technique, Pi-Distance of Rough Neutrosophic Sets for Medical Diagnosis, Machine learning in Neutrosophic Environment: A Survey.