Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Soft Computing
Published in: Soft Computing 11/2018

10-01-2018 | Foundations

New types of hesitant fuzzy soft ideals in BCK-algebras

Authors: H. A. Alshehri, H. A. Abujabal, N. O. Alshehri

Published in: Soft Computing | Issue 11/2018

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Molodtsov (Comput Math Appl 37:19–31, 1999) introduced the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches. As a link between classical soft sets and hesitant fuzzy sets, the notion of hesitant fuzzy soft sets is introduced by Babitha and John (J New Results Sci 3:98–107, 2013). The aim of this paper is to apply notion of hesitant fuzzy soft set for dealing with several kinds of theories in BCK-algebras. The notions of hesitant fuzzy soft implicative ideal, hesitant fuzzy soft positive implicative ideal and hesitant fuzzy soft commutative ideal in BCK-algebras are introduced and related properties are investigated. Relations between a hesitant fuzzy soft subalgebra (ideal) and hesitant fuzzy soft (implicative, positive implicative and commutative) ideals are discussed. Conditions for a hesitant fuzzy soft ideal to be a hesitant fuzzy soft implicative ideal (positive implicative and commutative) are given and provided. Application of hesitant fuzzy soft sets in decision making is investigated.
previous article Automatic detection of boundary points based on local geometrical measures
next article Kernel-based multiobjective clustering algorithm with automatic attribute weighting

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now
Literature
Alshehri NO, Alshehri HA (2018) New types of hesitant fuzzy ideals in \(BCK\)-algebras, Journal of Computational Analysis and Applications
Babitha KV, John SJ (2013) Hesitant fuzzy soft sets. J New Results Sci 3:98–107
Beg I, Rashid T (2015) Ideal solutions for hesitant fuzzy soft sets. J Intell Fuzzy Syst 30(1):143–150CrossRefMATH
Das S, Kar S (2015) The hesitant fuzzy soft set and its application in decision-making. Facets of uncertainties and applications. Springer, New Delhi
Das S, Malakar D, Kar S, Pal T (2017) Correlation measure of hesitant fuzzy soft sets and their application in decision making. Neural Comput Appl 1–17
He Y (2016) An Approach to Dual Hesitant Fuzzy Soft Set based on decision making. Fuzzy systems & operations research and management. Springer, Berlin, pp 339–349MATH
Jun YB, Ahn SS (2016) Hesitant fuzzy sets theory applied to in \(BCK/BCI\)- algebras. J Comput Anal Appl 20:635–646MathSciNetMATH
Jun YB, Ahn SS, Muhiuddin G (2014) Hesitant fuzzy soft subalgebras and ideals in \(BCK/BCI\)-algebras. Sci Word J 2014:7
Qin J, Liu X, Pedrycz W (2016) Frank aggregation operators and their application to hesitant fuzzy multiple attribute decision making. Appl Soft Comput 41:428–452CrossRef
Sellaka H, Ouhbi B, Frikh B (2017) A knowledge-based outranking approach for multi-criteria decision-making with hesitant fuzzy linguistic term sets. Appl Soft Comput 16 pages
Sooraj TR, Mohanty RK, Tripathy BK (2017) Hesitant fuzzy soft set theory and its application in decision making. Artificial intelligence and evolutionary computations in engineering systems. Springer, Singapore, pp 315–322
Torra V (2010) Hesitant fuzzy sets. Int J Intell Syst 25:529–539MATH
Wang FQ, Li X, Chen XH (2014a) Hesitant fuzzy soft set and its applications in multicriteria decision making. J Appl Math 2014:10
Wang J, Wang J, Chen Q, Zhang H, Chen X (2014b) An outranking approach for multi-criteria decision-making with hesitant fuzzy linguistic term sets. Inf Sci 280:338–351
Zhang ZM (2014) Induced generalized hesitant fuzzy operators and their application to multiple attribute group decision making. Comput Ind Eng 67:116–138CrossRef
Zhang H, Shu L (2016) Dual hesitant fuzzy soft set and its properties. Fuzzy systems & operations research and management. Springer, Cham, pp 171–182CrossRefMATH
Zhang XL, Xu ZS (2015) Hesitant fuzzy QUALIFLEX approach with a signed distance-based comparison method for multiple criteria decision analysis. Expert Syst Appl 42(2):873–884MathSciNetCrossRef
Zhao H, Xu Z, Liu S (2017) Hesitant fuzzy multi-attribute decision-making based on the minimum deviation method. Soft Comput 21(12):3439–3459CrossRefMATH
Zhanga Z, Wang C, Tianc X (2015) Multi-criteria group decision making with incomplete hesitant fuzzy preference relations. Appl Soft Comput 36:1–23CrossRef
Metadata
Title
New types of hesitant fuzzy soft ideals in BCK-algebras
Authors
H. A. Alshehri
H. A. Abujabal
N. O. Alshehri
Publication date
10-01-2018
Publisher
Springer Berlin Heidelberg
Published in
Soft Computing / Issue 11/2018
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-018-3009-0

Other articles of this Issue 11/2018

Soft Computing 11/2018 Go to the issue

Focus

Training an extreme learning machine by localized generalization error model

Focus

Model-aware categorical data embedding: a data-driven approach

Methodologies and Application

A novel chaos-integrated symbiotic organisms search algorithm for global optimization

Methodologies and Application

Kernel-based multiobjective clustering algorithm with automatic attribute weighting

Focus

Adaptive multiple graph regularized semi-supervised extreme learning machine

Focus

Fuzzy integral-based ELM ensemble for imbalanced big data classification

Premium Partner

    Image Credits