000 02238cam a22002897i 4500
001 136546
003 ISI Library, Kolkata
005 20160210151325.0
008 150622t20152015flu b 001 0 eng d
020 _a9781482250985 (alk. paper)
040 _aISI Library
_beng
082 0 4 _a302.1301511313
_223
_bM834
100 1 _aMordeson, John N.
245 1 0 _aApplication of fuzzy logic to social choice theory /
_cJohn N. Mordeson, Davender S. Malik and Terry D. Clark.
260 _aBoca Raton :
_bCRC Press,
_cc2015.
300 _axi, 340 p. ;
_c24 cm.
490 0 _aMonographs and research notes in mathematics
504 _aIncludes bibliographical references and index.
505 0 _a1. Fuzzy maximal subsets -- 2. Fuzzy choice functions -- 3. Factorization of fuzzy preference relations -- 4. Fuzzy non-arrow results -- 5. Fuzzy Arrow's theorem -- 6. Single peaked fuzzy preferences : Black's median voter theorem -- 7. Rationality -- 8. Arrow-type results under intuitionistic fuzzy preferences -- 9. Manipulability of fuzzy social choice functions -- 10. Similarity of fuzzy choice functions -- Index.
520 _aThe book explains the concept of a fuzzy maximal subset of a set of alternatives, fuzzy choice functions, the factorization of a fuzzy preference relation into the "union" (conorm) of a strict fuzzy relation and an indifference operator, fuzzy non-Arrowian results, fuzzy versions of Arrow’s theorem, and Black’s median voter theorem for fuzzy preferences. It examines how unambiguous and exact choices are generated by fuzzy preferences and whether exact choices induced by fuzzy preferences satisfy certain plausible rationality relations. The authors also extend known Arrowian results involving fuzzy set theory to results involving intuitionistic fuzzy sets as well as the Gibbard–Satterthwaite theorem to the case of fuzzy weak preference relations. The final chapter discusses Georgescu’s degree of similarity of two fuzzy choice functions.
650 0 _aSocial choice
_xMathematical models.
650 0 _aFuzzy decision making.
650 0 _aSet theory.
700 1 _aMalik, Davender S.,
_eauthor
700 1 _aClark, Terry D.,
_eauthor.
942 _2ddc
_cBK
999 _c420212
_d420212