p.bib

@book{kiendl1997fuzzy,
  isbn = {978-3486235548},
  year = {1997},
  address = {München},
  title = {Fuzzy control methodenorientiert},
  author = {Kiendl, Harro},
  publisher = {R. Oldenbourg},
}

@book{Klement2000,
  year = {2000},
  title = {Triangular Norms},
  doi = {10.1007/978-94-015-9540-7},
  author = {Erich Peter Klement and Radko Mesiar and Endre Pap},
  publisher = {Springer Netherlands},
}

@book{klir1995fuzzy,
  isbn = {9780131011717},
  year = {1995},
  address = {Upper Saddle River, N.J},
  title = {Fuzzy sets and fuzzy logic : theory and applications},
  author = {Klir, George and Bo Yuan},
  publisher = {Prentice Hall PTR},
}

@book{kruse1993fuzzy-systeme,
  isbn = {3519021307},
  year = {1993},
  address = {Stuttgart},
  title = {Fuzzy-Systeme},
  author = {Kruse, Rudolf and J\"{o}rg Gebhardt and Frank Klawonn},
  publisher = {Teubner},
}

@phdthesis{liebscher2007,
  journal = {Publikationen des Instituts für Statik und Dynamik der Tragwerke},
  year = {2007},
  month = {01},
  school = {Technische Universit\"{a}t Dresden},
  title = {Dimensionierung und Bewertung von Tragwerken bei Unschärfe - Lösung des inversen Problems mit Methoden der explorativen Datenanalyse},
  author = {Liebscher, Martin},
}

@book{LpezDaz2004,
  year = {2004},
  title = {Soft Methodology and Random Information Systems},
  doi = {10.1007/978-3-540-44465-7},
  author = {Miguel L{\'{o}}pez-D{\'{\i}}az and Mar{\'{\i}}a {\'{A}}. Gil and Przemys{\l}aw Grzegorzewski and Olgierd Hryniewicz and Jonathan Lawry},
  publisher = {Springer Berlin Heidelberg},
}

@book{manton1994statistical,
  isbn = {0471545619},
  year = {1994},
  address = {New York},
  title = {Statistical application using fuzzy sets},
  author = {Manton, Kenneth and Woodbury, M. and Tolley, H.},
  publisher = {Wiley},
}

@book{Mller2004,
  year = {2004},
  title = {Fuzzy Randomness},
  doi = {10.1007/978-3-662-07358-2},
  author = {Bernd M\"{o}ller and Michael Beer},
  publisher = {Springer Berlin Heidelberg},
}

@article{RePEc:taf:nmcmxx:v:15:y:2009:i:6:p:515-534,
  journal = {Mathematical and Computer Modelling of Dynamical Systems},
  pages = {515-534},
  abstract = {In many engineering problems the dynamical reactions of structures depend on uncertain data. For considering this uncertainty, fuzzy random processes are applied. An enhanced dynamic analysis method called fuzzy stochastic finite element method (FSFEM) has been developed in order to consider the fuzzy random processes within the dynamic analysis of structures. A suitable discretization strategy enables the repeated processing of FE algorithms as deterministic fundamental solution. In this paper the FE multi-reference-plane model is extended to fuzzy randomness and dynamic loads. The numerical solution is based on the fuzzy stochastic sampling (FSS). FSS and FSFEM are applied for the numerical simulation of the load-bearing capacity of a strengthened RC plate under static and dynamic loads.},
  number = {6},
  year = {2009},
  volume = {15},
  month = {September},
  url = {https://ideas.repec.org/a/taf/nmcmxx/v15y2009i6p515-534.html},
  title = {{Fuzzy random processes and their application to dynamic analysis of structures}},
  doi = {10.1080/13873950903375338},
  author = {Bernd Möller and Wolfgang Graf and Jan-Uwe Sickert and Frank Steinigen},
}

@book{möller2007uncertainty,
  isbn = {978-3-540-37173-1},
  year = {2007},
  address = {Berlin New York},
  title = {Uncertainty forecasting in engineering},
  author = {Möller, Bernd and Reuter, Uwe},
  publisher = {Springer},
}

@book{Novk1999,
  year = {1999},
  title = {Mathematical Principles of Fuzzy Logic},
  doi = {10.1007/978-1-4615-5217-8},
  author = {Vil{\'{e}}m Nov{\'{a}}k and Irina Perfilieva and Ji{\v{r}}{\'{\i}} Mo{\v{c}}ko{\v{r}}},
  publisher = {Springer {US}},
}

@book{onisawa1995,
  year = {1995},
  editor = {Takehisa Onisawa and Janusz Kacprzyk},
  title = {Reliability and Safety Analyses under Fuzziness},
  doi = {10.1007/978-3-7908-1898-7},
  publisher = {Physica-Verlag {HD}},
}

@book{pofahl2006,
  year = {2006},
  address = {Wien},
  title = {Exakte Zahlen genügen nicht, Mathematik und Ungewissheit},
  author = {Pofahl, Ulrich and Viertl, Reinhard},
  publisher = {Schriftenreihe der TU Wien},
}

@book{Rommelfanger1994,
  year = {1994},
  title = {Fuzzy Decision Support-Systeme},
  doi = {10.1007/978-3-642-57929-5},
  author = {Heinrich Rommelfanger},
  publisher = {Springer Berlin Heidelberg},
}

@book{ross2004fuzzy,
  isbn = {978-0-470-74376-8},
  year = {2004},
  address = {Chichester, U.K},
  title = {Fuzzy logic with engineering applications},
  author = {Ross, Timothy},
  publisher = {John Wiley},
}

@book{ross2002,
  isbn = {0898715253},
  year = {2002},
  address = {USA},
  editor = {Ross, Timothy J. and Booker, Jane M. and Parkinson, W. Jerry},
  title = {Fuzzy Logic and Probability Applications: Bridging the Gap},
  publisher = {Society for Industrial and Applied Mathematics},
}

@book{seising1999,
  year = {1999},
  address = {Wiesbaden},
  editor = {Rudolf Seising},
  title = {Fuzzy Theorie und Stochastik},
  doi = {10.1007/978-3-663-10120-8},
  publisher = {Vieweg$\mathplus$Teubner Verlag},
}

@book{slowinski1998fuzzy,
  isbn = {978-0-7923-8112-9},
  year = {1998},
  address = {Boston},
  title = {Fuzzy sets in decision analysis, operations research, and statistics},
  author = {Roman S{\l}owi{\'{n}}ski},
  publisher = {Kluwer Academic Publishers},
}

@incollection{Utkin2007,
  pages = {261--306},
  booktitle = {Studies in Computational Intelligence},
  year = {2007},
  title = {Imprecise reliability: An introductory overview},
  doi = {10.1007/978-3-540-37372-8_10},
  author = {Lev V. Utkin and Frank P. A. Coolen},
  publisher = {Springer Berlin Heidelberg},
}

@misc{Viertl2000integrals,
  year = {2000},
  title = {Calculation of Integrals of Fuzzy Functions},
  author = {Viertl, Reinhard and Bodjanova, Slavka},
}

@inproceedings{Shafiq2015GeneralizedKM,
  year = {2015},
  title = {Generalized Kaplan Meier Estimator for Fuzzy Survival Times},
  author = {Muhammad Shafiq and Reinhard Viertl},
}

@article{viertl2009,
  journal = {Journal of Statistical Planning and Inference},
  pages = {1750 - 1755},
  issn = {0378-3758},
  abstract = {Real lifetime data are never precise numbers but more or less non-precise, also called fuzzy. This kind of imprecision is connected with all measurement results of continuous variables, therefore also with time observations. Imprecision is different from errors and variability. Therefore estimation methods for reliability characteristics have to be adapted to the situation of fuzzy lifetimes in order to obtain realistic results.},
  number = {5},
  year = {2009},
  volume = {139},
  url = {http://www.sciencedirect.com/science/article/pii/S0378375808002498},
  keywords = {Bayesian inference, Fuzzy lifetimes, Reliability estimation},
  note = {Special Issue on Degradation, Damage, Fatigue and Accelerated Life Models in Reliability Testing},
  title = {On reliability estimation based on fuzzy lifetime data},
  doi = {https://doi.org/10.1016/j.jspi.2008.05.048},
  author = {Reinhard Viertl},
}

@book{bandemer1992fuzzy,
  year = {1992},
  address = {Dordrecht},
  title = {Fuzzy {D}ata {A}nalysis},
  author = {Bandemer, Hans and N{\"a}ther, Wolfgang},
  publisher = {Kluwer Academic Publishers},
}

@book{bandemer1993einfuhrung,
  year = {1993},
  address = {Berlin},
  title = {Einf\"uhrung in {F}uzzy-{M}ethoden: {T}heorie und {A}nwendungen unscharfer {M}engen},
  edition = {4},
  author = {Bandemer, Hans and Gottwald, Siegfried},
  publisher = {Akademie Verlag},
}

@book{bandemer1997ratschlage,
  year = {1997},
  address = {Leipzig},
  title = {Ratschl\"age zum mathematischen {U}mgang mit {U}ngewi\ss{}heit: {R}easonable {C}omputing},
  author = {Bandemer, Hans},
  publisher = {Teubner Verlag},
}

@book{bardossy2004evaluation,
  year = {2004},
  address = {Berlin},
  title = {Evaluation of {U}ncertainties and {R}isks in {G}eology},
  author = {B{\'a}rdossy, Gy{\"o}rgy and Fodor, J{\'a}nos},
  publisher = {Springer-Verlag},
}

@book{bertoluzza2002statistical,
  year = {2002},
  address = {Heidelberg},
  title = {Statistical {M}odeling, {A}nalysis and {M}anagement of {F}uzzy {D}ata},
  author = {Bertoluzza, Carlo and Gil, Mar\'{\i}a \'Angeles and Ralescu, Dan A.},
  publisher = {Physica-Verlag},
}

@book{borgelt2013towards,
  year = {2012},
  address = {Berlin},
  title = {Towards {A}dvanced {D}ata {A}nalysis by {C}ombining {S}oft {C}omputing and {S}tatistics},
  author = {Borgelt, Christian and Gil, Mar{\'\i}a {\'A}ngeles and Sousa, Jo{\~a}o and Verleysen, Michel},
  publisher = {Springer-Verlag},
}

@book{cai1996introduction,
  year = {1996},
  address = {Boston},
  title = {Introduction to Fuzzy Reliability},
  author = {Cai, Kai-Yuan},
  publisher = {Kluwer Academic Publishers},
}

@book{cox2005fuzzy,
  year = {2005},
  address = {Amsterdam},
  title = {Fuzzy {M}odeling and {G}enetic {A}lgorithms for {D}ata {M}ining and {E}xploration},
  author = {Cox, Earl},
  publisher = {Elsevier},
}

@book{dubois1999fuzzy,
  year = {1999},
  address = {Boston},
  title = {Fuzzy {S}ets in {A}pproximate {R}easoning and {I}nformation {S}ystems},
  author = {Bezdek, James C. and Dubois, Didier and Prade, Henri M.},
  publisher = {Kluwer Academic Publishers},
}

@book{dubois2000fundamentals,
  year = {2000},
  address = {New York},
  title = {Fundamentals of {F}uzzy {S}ets},
  author = {Dubois, Didier and Prade, Henri},
  publisher = {Kluwer Academic Publishers},
}

@book{dubois2008soft,
  year = {2008},
  address = {Berlin},
  title = {Soft {M}ethods for {H}andling {V}ariability and {I}mprecision},
  author = {Dubois, Didier and Lubiano, Mar\'{\i}a Asunci\'on and Prade, Henri and Gil, Mar\'{\i}a \'Angeles and Grzegorzewski, Przemyslaw and Hryniewicz, Olgierd},
  publisher = {Springer-Verlag},
}

@book{fellin2005analyzing,
  year = {2005},
  title = {Analyzing {U}ncertainty in {C}ivil {E}ngineering},
  author = {Fellin, Wolfgang and Lessmann, Heimo and Oberguggenberger, Michael and Vieider, Robert},
  publisher = {Springer},
}

@book{gottwald1993fuzzy,
  year = {1993},
  address = {Wiesbaden},
  title = {Fuzzy {S}ets and {F}uzzy {L}ogic},
  author = {Gottwald, Siegfried},
  publisher = {Vieweg Verlag},
}

@book{grabisch2000fuzzy,
  year = {2000},
  address = {Heidelberg},
  title = {Fuzzy {M}easures and {I}ntegrals: {T}heory and {A}pplications},
  author = {Grabisch, Michel and Sugeno, Michio and Murofushi, Toshiaki},
  publisher = {Physica-Verlag},
}

@book{grzegorzewski2002soft,
  year = {2002},
  address = {Heidelberg},
  title = {Soft {M}ethods in {P}robability, {S}tatistics and {D}ata {A}nalysis},
  author = {Grzegorzewski, Przemys{\l}aw and Hryniewicz, Olgierd and Gil, Mar\'{\i}a \'Angeles},
  publisher = {Physica-Verlag},
}

@book{kaufmann1985introduction,
  year = {1985},
  address = {New York},
  title = {Introduction to {F}uzzy {A}rithmetic: {T}heory and {A}pplications},
  author = {Kaufmann, Arnold and Gupta, Madan M.},
  publisher = {Van Nostrand Reinhold},
}

@article{Leekwijck1999159,
  journal = {Fuzzy Sets and Systems},
  pages = {159-178},
  number = {2},
  year = {1999},
  volume = {108},
  keywords = {Membership functions},
  title = {Defuzzification: criteria and classification},
  doi = {http://dx.doi.org/10.1016/S0165-0114(97)00337-0},
  author = {Werner Van Leekwijck and Etienne E. Kerre},
}

@article{schweizer1961associative,
  journal = {Publ. Math. Debrecen},
  pages = {143},
  number = {169-186},
  year = {1961},
  volume = {8},
  title = {Associative functions and statistical triangle inequalities},
  author = {Schweizer, Berthold and Sklar, Abe},
}

@phdthesis{shi2009deep,
  year = {2009},
  school = {Ghent University},
  title = {A Deep Study of Fuzzy Implications},
  author = {Shi, Yun},
}

@book{uiam518,
  year = {2001},
  address = {Madrid},
  title = {A {R}eview of {A}ggregation {O}perators},
  author = {Mesiar, Radko and Koles{\'a}rov{\'a}, Anna and Calvo, Tomasa and Komorn{\'\i}kov{\'a}, Magda},
  publisher = {University of Alcal\'a Press},
}

@article{Vie13,
  journal = {Iranian Journal of Fuzzy Systems},
  number = {2},
  volume = {10},
  month = {apr, year           = 2013},
  title = {{S}tatistical {A}nalysis {I}n {F}uzzy {E}nvironment, {S}pecial {I}ssue},
  author = {Viertl, Reinhard and Taheri, Seyed Mahmoud},
}

@book{viertl2005beschreibung,
  year = {2006},
  address = {Wien},
  title = {Beschreibung und {A}nalyse unscharfer {I}nformation: {S}tatistische {M}ethoden f\"ur unscharfe {D}aten},
  author = {Viertl, Reinhard and Hareter, Dietmar},
  publisher = {Springer},
}

@book{viertl2011statistical,
  year = {2011},
  address = {Chichester},
  title = {Statistical {M}ethods for {F}uzzy {D}ata},
  author = {Viertl, Reinhard},
  publisher = {Wiley},
}

@book{wang1980fuzzy,
  year = {1980},
  address = {New York},
  title = {Fuzzy {S}ets: {T}heory of {A}pplications to {P}olicy {A}nalysis and {I}nformation {S}ystems},
  author = {Wang, Paul P. and Chang, Shi Kuo},
  publisher = {Plenum Press},
}

@book{wang1992fuzzy,
  year = {1992},
  address = {New York},
  title = {Fuzzy {M}easure {T}heory},
  author = {Wang, Zhenyuan and Klir, George J.},
  publisher = {Plenum Press},
}

@book{wolkenhauer2004data,
  year = {2001},
  address = {New York},
  title = {Data {E}ngineering: {F}uzzy {M}athematics in {S}ystems {T}heory and {D}ata {A}nalysis},
  author = {Wolkenhauer, Olaf},
  publisher = {Wiley},
}

@book{zhang2006fuzzy,
  year = {2006},
  address = {Boston},
  title = {Fuzzy {M}odeling and {F}uzzy {C}ontrol},
  author = {Zhang, Huaguang and Liu, Derong},
  publisher = {Birkh\"auser},
}