Financial ratio selection for business failure prediction using soft set theory

AbstractHuman endeavours span a wide spectrum of activities which includes solving fascinating problems in the realms of engineering, arts, sciences, medical sciences, social sciences, economics and environment. To solve these problems, classical mathematics methods are insufficient. The real-world problems involve many uncertainties making them difficult to solve by classical means. The researchers world over have established new mathematical theories such as fuzzy set theory and rough set theory in order to model the uncertainties that appear in various fields mentioned above. In the recent days, soft set theory has been developed which offers a novel way of solving real world issues as the issue of setting the membership function does not arise. This comes handy in solving numerous problems and many advancements are being made now-a-days. Jun introduced hybrid structure utilizing the ideas of a fuzzy set and a soft set. It is to be noted that hybrid structures are a speculation of soft set and fuzzy set. In the present work, the notion of hybrid ideals of a near-ring is introduced. Significant work has been carried out to investigate a portion of their significant properties. These notions are characterized and their relations are established furthermore. For a hybrid left (resp., right) ideal, different left (resp., right) ideal structures of near-rings are constructed. Efforts have been undertaken to display the relations between the hybrid product and hybrid intersection. Finally, results based on homomorphic hybrid preimage of a hybrid left (resp., right) ideals are proved.

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On soft set-valued maps and integral inclusions

Journal of Intelligent & Fuzzy Systems ◽

10.3233/jifs-202154 ◽

2021 ◽

pp. 1-15

Author(s):

Monairah Alansari ◽

Shehu Shagari Mohammed ◽

Akbar Azam

Keyword(s):

Fixed Point ◽

Set Theory ◽

Fuzzy Set Theory ◽

Fixed Point Theorems ◽

Soft Set ◽

Mathematical Tool ◽

Multivalued Maps ◽

Soft Sets ◽

Special Cases ◽

New Development

As an improvement of fuzzy set theory, the notion of soft set was initiated as a general mathematical tool for handling phenomena with nonstatistical uncertainties. Recently, a novel idea of set-valued maps whose range set lies in a family of soft sets was inaugurated as a significant refinement of fuzzy mappings and classical multifunctions as well as their corresponding fixed point theorems. Following this new development, in this paper, the concepts of e-continuity and E-continuity of soft set-valued maps and αe-admissibility for a pair of such maps are introduced. Thereafter, we present some generalized quasi-contractions and prove the existence of e-soft fixed points of a pair of the newly defined non-crisp multivalued maps. The hypotheses and usability of these results are supported by nontrivial examples and applications to a system of integral inclusions. The established concepts herein complement several fixed point theorems in the framework of point-to-set-valued maps in the comparable literature. A few of these special cases of our results are highlighted and discussed.

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The clustering-based case-based reasoning for imbalanced business failure prediction: a hybrid approach through integrating unsupervised process with supervised process

International Journal of Systems Science ◽

10.1080/00207721.2012.748105 ◽

2013 ◽

Vol 45 (5) ◽

pp. 1225-1241 ◽

Cited By ~ 6

Author(s):

Hui Li ◽

Jun-Ling Yu ◽

Le-An Yu ◽

Jie Sun

Keyword(s):

Hybrid Approach ◽

Failure Prediction ◽

Business Failure ◽

Case Based Reasoning ◽

Case Based

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A New Extended Soft Intersection Set toM,N-SIImplicative Fitters ofBL-Algebras

The Scientific World JOURNAL ◽

10.1155/2014/517039 ◽

2014 ◽

Vol 2014 ◽

pp. 1-5

Author(s):

Jianming Zhan ◽

Qi Liu ◽

Hee Sik Kim

Keyword(s):

Set Theory ◽

Soft Set ◽

Mathematical Framework ◽

Boolean Filters

Molodtsov’s soft set theory provides a general mathematical framework for dealing with uncertainty. The concepts of(M,N)-SIimplicative (Boolean) filters ofBL-algebras are introduced. Some good examples are explored. The relationships between(M,N)-SIfilters and(M,N)-SIimplicative filters are discussed. Some properties of(M,N)-SIimplicative (Boolean) filters are investigated. In particular, we show that(M,N)-SIimplicative filters and(M,N)-SIBoolean filters are equivalent.

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Soft Set-Based Switching Faults Decision Making in DTC Induction Motor Drives

Journal of Circuits System and Computers ◽

10.1142/s0218126615500218 ◽

2014 ◽

Vol 24 (02) ◽

pp. 1550021 ◽

Cited By ~ 1

Author(s):

Veli Türkmenoğlu ◽

Mustafa Aktaş ◽

Serkan Karataş ◽

Halil İbrahim Okumuş

Keyword(s):

Decision Making ◽

Fault Detection ◽

Induction Motor ◽

Set Theory ◽

Wavelet Decomposition ◽

Motor Drives ◽

Soft Set ◽

Fault Detection And Diagnosis ◽

Induction Motor Drives ◽

Detection Mechanism

This paper introduces a method for detection and identification of IGBT-based drive open-circuit fault of DTC induction motor drives. The detection mechanism is based on soft set theory and wavelet decomposition, if it is detailed, ⊼-product decision making method and sym2 wavelet decomposition have been used in the detection mechanism. In this method, the stator currents have been used as an input to the system. The stator current has been used for the detection of the fault. The signal analysis has been performed up to the six level details wavelets decomposition. Faulty switch is detected by applying soft set theory to sixth level wavelets transformation. This is the first time applied to inverter in induction motor drives fault detection. The results demonstrate that the proposed fault detection and diagnosis system has very good capabilities.

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