Back to Search
Start Over
Distance and distance induced intuitionistic entropy of generalized intuitionistic fuzzy soft sets
- Source :
- Applied Intelligence. 47:132-147
- Publication Year :
- 2017
- Publisher :
- Springer Science and Business Media LLC, 2017.
-
Abstract
- This paper examines the generalized intuitionistic fuzzy soft set (GIFSS) model which is an intuitively straightforward extension of the intuitionistic fuzzy soft set (IFSS) model. This concept which arises from IFSSs, is generalized by including a moderator’s opinion regarding the validity of the information at hand, thus making it highly suitable for use in decision-making problems that involve uncertain, vague and/or unreliable data. In this paper, we introduce the tools that measure the distance, similarity and the degree of fuzziness of GIFSSs. The axiomatic definitions of the distance measure is introduced and subsequently used to define the similarity measure and intuitionistic entropy induced by this distance measure. Some of the algebraic properties of these measures are also verified. The well-known Hamming, normalized Hamming, Euclidean and normalized Euclidean distances are generalized to make them compatible with the concept of GIFSSs. Subsequently, some relations among these information measures are proposed and verified. These results indicate how these measures are related and how they can be deduced from one another. Finally, we demonstrate the application of the information measure between GIFSSs by applying it to a case study related to the moderation of school-based assessment components of students in externally accredited academic programs.
- Subjects :
- Normalization (statistics)
Computer science
Entropy (statistical thermodynamics)
05 social sciences
050301 education
Intuitionistic fuzzy
02 engineering and technology
Similarity measure
Algebra
Entropy (classical thermodynamics)
Artificial Intelligence
Euclidean geometry
0202 electrical engineering, electronic engineering, information engineering
Entropy (information theory)
020201 artificial intelligence & image processing
Entropy (energy dispersal)
0503 education
Entropy (arrow of time)
Soft set
Entropy (order and disorder)
Subjects
Details
- ISSN :
- 15737497 and 0924669X
- Volume :
- 47
- Database :
- OpenAIRE
- Journal :
- Applied Intelligence
- Accession number :
- edsair.doi...........a43f015d46130aca0637c67ac27bf280
- Full Text :
- https://doi.org/10.1007/s10489-016-0884-x