Title :
Exact Bounds for Interval and Fuzzy Functions Under Monotonicity Constraints, with Potential Applications to Biostratigraphy
Author :
Platon, Emil ; Tupelly, Kavitha ; Kreinovich, Vladik ; Starks, Scott A. ; Villaverde, Karen
Author_Institution :
Energy & Geosci. Inst., Utah Univ., Salt Lake City, UT
Abstract :
The age of fossil species in samples recovered from a well that penetrates an undisturbed sequence of sedimentary rocks increases with depth. The results of biostratigraphic analysis of such a sequence consist of several age-depth values - both known with interval (or fuzzy) uncertainty - and we would like to find, for each possible depth, the interval of the possible values of the corresponding age. A similar problem of bounding an intervally (fuzzily) defined function under monotonicity constraint occurs in many other application areas. In this paper, we provide an efficient algorithm for solving this problem
Keywords :
constraint handling; fuzzy set theory; geochronology; rocks; uncertainty handling; biostratigraphic analysis; exact bounds; fossil species age; fuzzy functions; fuzzy uncertainty; interval functions; monotonicity constraints; sedimentary rocks; Cities and towns; Computer aided software engineering; Computer science; Contamination; Geology; Geoscience; History; Information analysis; Oceans; Uncertainty;
Conference_Titel :
Fuzzy Systems, 2005. FUZZ '05. The 14th IEEE International Conference on
Conference_Location :
Reno, NV
Print_ISBN :
0-7803-9159-4
DOI :
10.1109/FUZZY.2005.1452512