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1

Aubin, Jean Pierre. Set-valued analysis. Boston: Birkhäuser, 1990.

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2

Aubin, Jean Pierre. Set-valued analysis. Boston: Birkhäuser, 2009.

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3

Yukio, Ogura, and Kreinovich Vladik, eds. Limit theorems and applications of set-valued and fuzzy set-valued random variables. Dordrecht: Kluwer Academic Publishers, 2002.

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4

Li, Shoumei. Limit theorems and applications of set-valued and fuzzy set-valued random variables. Dordrecht: Kluwer Academic Publishers, 2002.

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5

Song, Wen. Quality in set-valued optimization. Warszawa: Polska Akademia Nauk, Instytut Matematyczny, 1998.

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6

L, Bell J. Set theory: Boolean-valued models and independence proofs. 3rd ed. Oxford [Oxfordshire]: Clarendon Press, 2011.

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7

Pękala, Barbara. Uncertainty Data in Interval-Valued Fuzzy Set Theory. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-319-93910-0.

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8

Bell, J. L. Boolean-valued models and independence proofs in set theory. 2nd ed. Oxford: Clarendon, 1985.

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9

Boolean-valued models and independence proofs in set theory. 2nd ed. Oxford [Oxfordshire]: Oxford University Press, 1985.

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10

Yannelis, Nicholas C. Set-valued functions of two variables in economic theory. [Urbana, Ill.]: College of Commerce and Business Administration, University of Illinois at Urbana-Champaign, 1989.

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11

Bolc, Leonard. Many-valued logics. Berlin: Springer-Verlag, 1992.

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12

Górniewicz, Lech. Topological fixed point theory of multivalued mappings. Dordrecht: Kluwer Academic Publishers, 1999.

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13

Ingram, W. T. An Introduction to Inverse Limits with Set-valued Functions. New York, NY: Springer New York, 2012.

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14

Aubin, Jean Pierre. Viability theory: New directions. 2nd ed. Heidelberg: Springer, 2011.

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15

V, Kalashnikov V., ed. Optimization with multivalued mappings: Theory, applications, and algorithms. New York: Springer, 2006.

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16

Aubin, Jean Pierre. Viability theory. Boston: Birkhäuser, 2009.

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17

Aubin, Jean Pierre. Viability theory. Boston: Birkhäuser, 2009.

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18

Viability theory. Boston: Birkhauser, 1991.

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19

author, Rosen Daniel 1980, ed. Function theory on symplectic manifolds. Providence, Rhode Island, USA: American Mathematical Society, 2014.

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20

Mutational and morphological analysis: Tools for shape evolution and morphogenesis. Boston: Birkhäuser, 1999.

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21

Wygralak, Maciej. Vaguely defined objects: Representations, fuzzy sets, and nonclassical cardinality theory. Dordrecht: Kluwer Academic Publishers, 1996.

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22

Petersen, Hanne. Home knitted law: Norms and values in gendered rule-making. Aldershot, Hants, England: Dartmouth, 1996.

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23

J, Hüsler, and Reiss R. -D, eds. Laws of small numbers: Extremes and rare events. 2nd ed. Basel: Birkhauser Verlag, 2004.

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24

J, Hüsler, and Reiss R. -D, eds. Laws of small numbers: Extremes and rare events. Basel: Birkhäuser Verlag, 1994.

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25

Sousa, Michael Joseph. Set-valued integrals. 1985.

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26

Set-Valued Analysis. 2nd ed. Birkhauser, 2006.

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27

Kreinovich, V., Shoumei Li, and Y. Ogura. Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables. Springer, 2014.

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28

Aubin, Jean-Pierre. Differential Inclusions: Set-Valued Maps and Viability Theory. Brand: Springer, 2012.

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29

Burachik, Regina S., and Alfredo N. Iusem. Set-Valued Mappings and Enlargements of Monotone Operators. Springer, 2010.

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30

Kreinovich, V., Shoumei Li, and Y. Ogura. Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables (Theory and Decision Library B). Springer, 2002.

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31

Metric Spaces: Including Fixed Point Theory and Set-Valued Maps. Alpha Science International, Limited, 2010.

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32

Górniewicz, Lech. Topological Fixed Point Theory of Multivalued Mappings. Springer, 2014.

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33

Approximation of Set-Valued Functions: Adaptation of Classical Approximation Operators. Imperial College Press, 2014.

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34

Ingram, W. T. An Introduction to Inverse Limits with Set-valued Functions. Springer, 2012.

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35

Bell, John L. Set Theory: Boolean-Valued Models and Independence Proofs (Oxford Logic Guides). Oxford University Press, USA, 2005.

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36

Borowik, Piotr, and Leonard Bolc. Many-Valued Logics 2. Springer, 2004.

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37

Pękala, Barbara. Uncertainty Data in Interval-Valued Fuzzy Set Theory: Properties, Algorithms and Applications. Springer, 2018.

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38

Pękala, Barbara. Uncertainty Data in Interval-Valued Fuzzy Set Theory: Properties, Algorithms and Applications. Springer, 2018.

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39

Set-Valued Mappings and Enlargements of Monotone Operators (Springer Optimization and Its Applications). Springer, 2007.

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40

Set-valued analysis and differential inclusions: A collection of papers resulting from a workshop held in Pamporovo, Bulgaria, September 1990. Laxenburg, Austria: IIASA, 1993.

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41

Dempe, Stephan, and Vyacheslav Kalashnikov. Optimization with Multivalued Mappings: Theory, Applications and Algorithms. Springer, 2010.

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42

Topological Fixed Point Theory of Multivalued Mappings (Topological Fixed Point Theory and Its Applications). 2nd ed. Springer, 2006.

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43

Hu, Shouchuan, and N. S. Papageorgiou. Handbook of Multivalued Analysis: Volume I: Theory (Mathematics and Its Applications). Springer, 2007.

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44

Hrushovski, Ehud, and François Loeser. Preliminaries. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691161686.003.0002.

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This chapter provides some background material on definable sets, definable types, orthogonality to a definable set, and stable domination, especially in the valued field context. It considers more specifically these concepts in the framework of the theory ACVF of algebraically closed valued fields and describes the definable types concentrating on a stable definable V as an ind-definable set. It also proves a key result that demonstrates definable types as integrals of stably dominated types along some definable type on the value group sort. Finally, it discusses the notion of pseudo-Galois coverings. Every nonempty definable set over an algebraically closed substructure of a model of ACVF extends to a definable type.
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45

Runciman, Walter Garrison. A Treatise on Social Theory 3 volume paperback set. Cambridge University Press, 1997.

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46

Mann, Peter. Classical Path-Integrals. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0029.

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The purpose of this chapter is to formalise functions and set theory. It is often handy to partition a collection of numbers into one package for neatness. This is the idea of a set; it is itself an object. A function is like a number-crunching box: numbers are fed into the function and another number comes out; it is a mapping from a set of numbers to another set of numbers and there are several ways to write it. A functional is a box that takes a function and gives out a number; it is a function of a function of a variable. A real-valued function is a scalar field when it has a scalar quantity as its output; it is called a vector field when the output is a vector. Other concepts associated with sets and functions are discussed, providing background to the other chapters in the book.
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47

Ohlin, Jens David, Larry May, and Claire Finkelstein. Introduction. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198796176.003.0001.

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This volume brings to bear philosophical analysis and normative legal theory to study the value of lives in war. There is already a well-established literature regarding the lives of civilians, but the lives of combatants have generally received far less attention in both the legal and philosophical literatures. Consequently, this volume aims to consider both questions together, analyzing questions of methodology, legal doctrine, and philosophical commitments. The arguments outlined in this volume reveal a set of principles, including necessity and proportionality, whose core essence remains essentially contested. From the secure viewpoint of the purely descriptive, lawyers might confidently describe some of these questions as settled. But many others, even from the vantage point of descriptive theory, remain under-analyzed and radically lacking in clarity and certainty. The results of this collective investigation open up a new research programme regarding the legal and the ethical regulation of war, specifically how the lives of combatants and civilians alike are valued, weighed, balanced, and protected.
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48

Bergqvist, Anna, and Robert Cowan. Introduction. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786054.003.0001.

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In this Introduction the central themes of the Evaluative Perception volume are set out. After identifying historical and recent contemporary work on this topic, some central questions are discussed under three headings: (1) Questions about the Existence and Nature of Evaluative Perception: Are there perceptual experiences of values? If so, what is their nature? Are experiences of values sui generis? Are values necessary for certain kinds of experience? (2) Questions about the Epistemology of Evaluative Perception: Can evaluative experiences ever justify evaluative judgements? Are experiences of values necessary for certain kinds of justified evaluative judgements? (3) Questions about Value Theory and Evaluative Perception: Is the existence of evaluative experience supported or undermined by particular views in value theory? Are particular views in value theory supported or undermined by the existence of value experience?
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49

Maz'ya, Vladimir, Serguei Nazarov, and Boris Plamenevskij. Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains: SET (Operator Theory: Advances and Applications). Birkhauser, 2000.

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50

Wygralak, M. Vaguely Defined Objects: Representations, Fuzzy Sets and Nonclassical Cardinality theory (Theory and Decision Library B:). Springer, 1995.

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