UNCLEAR ADVANTAGES IN THE TASKS OF ACCEPTANCE OF DECISIONS IN THE CONDITIONS OF VAGUENESS
Keywords:
decision making, fuzzy relation, idempotent convexity, lattice.Abstract
A formal model of decision making support under uncertainty based on fuzzy preferences is presented. Relations with idempotent generalizations of convexity are established.
References
1. Dubois D., Prade H., Sabbadin R. Qualitative decision theory with Sugeno integrals, in: Grabisch M., Murofushi T., Sugeno M. (eds), Fuzzy measures and integral – theory and applications. Physika Verlag, Heidelberg, pp. 314-332.
2. Nykyforchyn O.R., Repovš D., Idempotent convexity and algebras for the capacity monad and its submonads, subm. to Applied Categorical Structures, 2009, 16 pp.
3. Schmeidler D., Integral representation without additivity, Proc. Amer. Math. Soc., 97:2, рр. 255-261.
2. Nykyforchyn O.R., Repovš D., Idempotent convexity and algebras for the capacity monad and its submonads, subm. to Applied Categorical Structures, 2009, 16 pp.
3. Schmeidler D., Integral representation without additivity, Proc. Amer. Math. Soc., 97:2, рр. 255-261.
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Published
2019-03-08
How to Cite
Никифорчин, І. В. (2019). UNCLEAR ADVANTAGES IN THE TASKS OF ACCEPTANCE OF DECISIONS IN THE CONDITIONS OF VAGUENESS. PRECARPATHIAN BULLETIN OF THE SHEVCHENKO SCIENTIFIC SOCIETY. Number, (1(5), 34–36. Retrieved from https://pvntsh.nung.edu.ua/index.php/number/article/view/309
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Section
Mathematics and Mechanics