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Effective human-machine collaboration can significantly improve many learning and planning strategies for information gathering via fusion of 'hard' and 'soft' data originating from machine and human sensors, respectively. However,…

Human-Computer Interaction · Computer Science 2015-12-24 Kin Gwn Lore , Nicholas Sweet , Kundan Kumar , Nisar Ahmed , Soumik Sarkar

Soft set theory is an important and emerging area within soft computing, owing to its attribute-oriented mathematical framework and its wide applicability in diverse domains, including science and social sciences. The theoretical…

General Mathematics · Mathematics 2026-05-21 Santanu Acharjee , Sankar K. Pal

Internet of Things (IoT) and Network Softwarization are fast becoming core technologies of information systems and network management for next generation Internet. The deployment and applications of IoT ranges from smart cities to urban…

Networking and Internet Architecture · Computer Science 2019-03-01 Iqbal Alam , Kashif Sharif , Fan Li , Zohaib Latif , Md Monjurul Karim , Boubakr Nour , Sujit Biswas , Yu Wang

Interval identification of parameters such as average treatment effects, average partial effects and welfare is particularly common when using observational data and experimental data with imperfect compliance due to the endogeneity of…

Econometrics · Economics 2025-04-09 Sukjin Han , Adam McCloskey

We prove that the space of intuitionistic fuzzy values (IFVs) with a linear order based on a score function and an accuracy function has the same algebraic structure as the one induced by a linear order based on a similarity function and an…

Artificial Intelligence · Computer Science 2022-06-02 Xinxing Wu , Tao Wang , Qian Liu , Peide Liu , Guanrong Chen , Xu Zhang

In the Internet of Things (IoT) community, Wireless Sensor Network (WSN) is a key technique to enable ubiquitous sensing of environments and provide reliable services to applications. WSN programs, typically interrupt-driven, implement the…

Software Engineering · Computer Science 2018-10-16 Yuxia Sun , Song Guo , Shing-Chi Cheung , Yong Tang

In this paper, we introduce semiopen and semiclosed fuzzy soft sets in fuzzy soft topological spaces. Various properties of these sets are studied alongwith some characterizations. Further, we generalize the structures like interior and…

General Mathematics · Mathematics 2014-03-17 Juthika Mahanta

Control and state estimation procedures need to be robust against imprecisely known parameters, uncertainty in initial conditions, and external disturbances. Interval methods and other set-based techniques form the basis for the…

Systems and Control · Electrical Eng. & Systems 2025-10-22 Andreas Rauh , Marit Lahme , Simon Rohou , Luc Jaulin , Thach Ngoc Dinh , Tarek Raissi , Mohamed Fnadi

In this paper the notion of quasicoincidence of a fuzzy interval valued with an interval valued fuzzy set, which generalizes the concept of quasicoincidence of a fuzzy point in a fuzzy set is concentrated.

General Mathematics · Mathematics 2022-08-31 M. Anbarloei

The rough-set theory proposed by Pawlak, has been widely used in dealing with data classification problems. The original rough-set model is, however, quite sensitive to noisy data. Tzung thus proposed deals with the problem of producing a…

Data Structures and Algorithms · Computer Science 2012-04-09 Ali Soltan Mohammadi , L. Asadzadeh , D. D. Rezaee

Fuzzy rough set theory can be used as a tool for dealing with inconsistent data when there is a gradual notion of indiscernibility between objects. It does this by providing lower and upper approximations of concepts. In classical fuzzy…

Machine Learning · Computer Science 2024-03-19 Adnan Theerens , Oliver Urs Lenz , Chris Cornelis

In 1999, Molodtsov initiated the theory of soft sets as a new mathematical tool for dealing with uncertainties in many fields of applied sciences. In 2011, Shabir and Naz introduced and studied the notion of soft topological spaces, also…

General Topology · Mathematics 2019-05-31 Giorgio Nordo

In this article, we have introdued D-fuzzy sets. We have discussed the notions of inclusion, union, intersection, complementation and convexity of such D-fuzzy sets. Also we have proved separation theorem of convex D-fuzzy sets.

Complex Variables · Mathematics 2024-01-17 Chinmay Ghosh , Sanjib Kumar Datta , Soumen Mondal

In this paper, we define normal soft int-groups and derive their some basic properties. We also investigate some relations on {\alpha}-inclusion, soft product and normal soft int-groups. Then we define normalizer, quotient group and give…

Group Theory · Mathematics 2012-09-17 Kenan Kaygisiz

$n$-Dimensional fuzzy sets are a fuzzy set extension where the membership values are n-tuples of real numbers in the unit interval [0,1] increasingly ordered, called n-dimensional intervals. The set of n-dimensional intervals is denoted by…

Optimization and Control · Mathematics 2021-01-29 Thadeu Milfont , Ivan Mezzomo , Benjamín Bedregal , Edmundo Mansilla , Humberto Bustince

In this article, a new concept of LR-type interval-valued intuitionistic fuzzy numbers (LR-type IVIFN) has been introduced. The theory has also been enriched by demonstrating diagrammatic representations of LR-type IVIFNs and establishing…

Optimization and Control · Mathematics 2023-01-19 Manisha Malik , S. K. Gupta , Manuel Arana-Jiménez

We present a unified logical framework for representing and reasoning about both quantitative and qualitative preferences in fuzzy answer set programming, called fuzzy answer set optimization programs. The proposed framework is vital to…

Artificial Intelligence · Computer Science 2013-04-11 Emad Saad

The cluster soft point is an attempt to introduce a novel generalization of the soft closure point and the soft limit point. A cluster soft set is defined to be the system of all cluster soft points of a soft set. Then the fundamental…

General Topology · Mathematics 2023-10-24 Zanyar A. Ameen , Samer Al Ghour

Instrumental variables (IVs) are widely used to estimate causal effects in the presence of unobserved confounding between exposure and outcome. An IV must affect the outcome exclusively through the exposure and be unconfounded with the…

This paper further studies the fuzzy rough sets based on fuzzy coverings. We first present the notions of the lower and upper approximation operators based on fuzzy coverings and derive their basic properties. To facilitate the computation…

Information Theory · Computer Science 2013-04-02 Guangming Lang , Qingguo Li , Lankun Guo
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