nach oben

Soft Computing

Erschienen in:

09.11.2017 | Foundations

A new distance on fuzzy semi-numbers

verfasst von: M. Amirfakhrian, Sh. Yeganehmanesh, P. Grzegorzewski

Erschienen in: Soft Computing | Ausgabe 14/2018

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config

KI-gestützte Suche

Aus

Abstract

In this paper we firstly review the definition of fuzzy semi-numbers and study some of their properties. Then, we consider some methods for converting fuzzy semi-numbers to fuzzy numbers in order to find the distance between fuzzy semi-numbers. By presenting a new distance function, we also find the distance between fuzzy semi-numbers directly without any change to their originality. Finally, we prove some properties of the presented distance and study a practical motivational medical case study along with some numerical examples.

Nächster Artikel Epidemic spreading on a complex network with partial immunization

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

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!

Jetzt informieren

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!

Jetzt informieren

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!

Jetzt informieren

Abbasbandy S, Amirfakhrian M (2006a) The nearest approximation of a fuzzy quantity in parametric form. J Appl Math Comput 172:624–632MathSciNetCrossRefMATH

Abbasbandy S, Amirfakhrian M (2006b) The nearest trapezoidal form of a generalized left right fuzzy number. J Approx Reason 43:166–178MathSciNetCrossRefMATH

Allahviranloo T, Abbasbandy S, Sanaeifard R (2011) A method for ranking fuzzy numbers using new weighted distance. Math Comput Appl 16(2):359–369MathSciNet

Amirfakhrian M (2010) Properties of parametric form approximation operator of fuzzy numbers. Analele Stiintifice ale Universitatii Ovidius Constanta 18:23–34MathSciNetMATH

Anzilli L, Facchinetti G, Mastroleo G (2014) A parametric approach to evaluate fuzzy quantities. Fuzzy Sets Syst 250:110–133MathSciNetCrossRefMATH

Chang CL (1968) Fuzzy topological spaces. J Math Anal Appl 24(1):182–190MathSciNetCrossRefMATH

Cullen DJ et al (1972) Clinical signs of anesthesia. Anesthesiology 36:21–36CrossRef

Delgado M, Vila MA, Voxman W (1998) On a canonical representation of fuzzy numbers. Fuzzy Sets Syst 93:125–135MathSciNetCrossRefMATH

Dubois D, Prade H (1978) Operations on fuzzy numbers. Int J Syst Sci 9:613–626MathSciNetCrossRefMATH

Dubois D, Prade H (1980) Fuzzy sets and systems: theory and application. Academic Press, New YorkMATH

Grzegorzewski P (1998) Metrics and Orders in Space of Fuzzy Numbers. Fuzzy Sets Syst 97:83–94

Grzegorzewski P (2002) Nearest interval approximation of a fuzzy number. Fuzzy Sets Syst 130:321–330MathSciNetCrossRefMATH

Grzegorzewski P, Mrówka E (2003) Trapezoidal approximations of fuzzy numbers. In: Bilgic T, DeBaets B, Kaynak O (eds) Fuzzy sets and systems, IFSA 2003. Lecture notes in artificial intelligence, vol 2715. Springer, pp 237–244

Grzegorzewski P, Mrówka E (2005) Trapezoidal approximations of fuzzy numbers. Fuzzy Sets Syst 153:115–135MathSciNetCrossRefMATH

Kaleva O (1985) The completion of fuzzy metric spaces. J Math Anal Appl 109:194–198

Kaleva O (2008) A comment on the completion of fuzzy metric spaces. Fuzzy Sets Syst 159(16):2190–2192MathSciNetCrossRefMATH

Kaleva O, Seikkala S (1984) On fuzzy metric spaces. Fuzzy Sets Syst 12:215–229CrossRefMATH

Li G, Warner M, Lang BH, Huang L, Sun LS (2009) Epidemiology of anesthesia-related mortality in the United States, 1999–2005. Anesthesiology 110(4):759–765CrossRef

Lowen R (1976) Fuzzy topological spaces and fuzzy compactness. J Math Anal Appl 56:621–633MathSciNetCrossRefMATH

Ma M, Friedman M, Kandel A (1999) A new fuzzy arithmetic. Fuzzy Sets Syst 108:83–90MathSciNetCrossRefMATH

Ma M, Kandel A, Friedman M (2000) A new approach for defuzzification. Fuzzy Sets Syst 111:351–356MathSciNetCrossRefMATH

Ma M, Kandel A, Friedman M (2002) Correction to “A new approach for defuzzification”. Fuzzy Sets Syst 128:133–134CrossRef

Voxman W (1998) Some remarks on distance between fuzzy numbers. Fuzzy Sets Syst 100:353–365MathSciNetCrossRefMATH

Ying H, Sheppard LC (1994) Regulating mean arterial pressure in postsurgical cardiac patients. IEEE Eng Med Biol Mag 13(5):671–677CrossRef

Zbinden AM, Feigenwinter P, Petersen-felix S, Hacisalizade S (1995) Arterial pressure control with isoflurane using fuzzy logic. Br J Anaesth 74:66–72CrossRef

Zimmermann HJ (1991) Fuzzy set theory and its applications, 2nd edn. Kluwer Academic, BostonCrossRefMATH

Titel: A new distance on fuzzy semi-numbers
verfasst von: M. Amirfakhrian
Sh. Yeganehmanesh
P. Grzegorzewski
Publikationsdatum: 09.11.2017
Verlag: Springer Berlin Heidelberg
Erschienen in: Soft Computing / Ausgabe 14/2018
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-017-2902-2

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Wirtschaft"

Springer Professional "Technik"

Weitere Artikel der Ausgabe 14/2018

A new method to evaluate risk in failure mode and effects analysis under fuzzy information

Locally adaptive multiple kernel k-means algorithm based on shared nearest neighbors

A fast partition-based batch-mode active learning technique using SVM classifier

Distance-based nonlinear programming models to identify and adjust inconsistencies for linguistic preference relations

Fuzzy heaping mechanism for heaped count data with imprecision

An improved artificial bee colony with modified augmented Lagrangian for constrained optimization