# zbMATH — the first resource for mathematics

##### Examples
 Geometry Search for the term Geometry in any field. Queries are case-independent. Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact. "Topological group" Phrases (multi-words) should be set in "straight quotation marks". au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted. Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff. "Quasi* map*" py: 1989 The resulting documents have publication year 1989. so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14. "Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic. dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles. py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses). la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

##### Operators
 a & b logic and a | b logic or !ab logic not abc* right wildcard "ab c" phrase (ab c) parentheses
##### Fields
 any anywhere an internal document identifier au author, editor ai internal author identifier ti title la language so source ab review, abstract py publication year rv reviewer cc MSC code ut uncontrolled term dt document type (j: journal article; b: book; a: book article)
Sensitivity analysis in fuzzy multiobjective linear fractional programming problem. (English) Zbl 1015.90097
Summary: We study measurement of sensitivity for changes of violations in the aspiration level for the fuzzy multiobjective linear fractional programming problem.

##### MSC:
 90C70 Fuzzy programming 90C29 Multi-objective programming; goal programming 90C31 Sensitivity, stability, parametric optimization
##### Keywords:
parametric analysis; tolerance approach; sensitivity
Full Text:
##### References:
 [1] Bellman, R. E.; Zadeh, L. A.: Decision making in a fuzzy environment. Management sci. 17, 141-164 (1970) · Zbl 0224.90032 [2] Chanas, S.: The use of parametric programming in fuzzy linear programming. Fuzzy sets and systems 11, 243-251 (1983) · Zbl 0534.90056 [3] Charnes, A.; Cooper, W. W.: Programming with linear fractional functionals. Naval res. Logist. quart. 9, 181-186 (1962) · Zbl 0127.36901 [4] Delgado, M.; Verdegay, J. L.; Vila, M. A.: A general model for fuzzy linear programming. Fuzzy sets and systems 29, 21-29 (1989) · Zbl 0662.90049 [5] Delgado, M.; Verdegay, J. L.; Vila, M. A.: Relating different approaches to solve linear programming problems with imprecise costs. Fuzzy sets and systems 37, 33-42 (1990) · Zbl 0715.90099 [6] Dutta, D.; Rao, J. R.; Tiwari, R. N.: Sensitivity analysis in fuzzy linear fractional programming problem. Fuzzy sets and systems 48, 211-216 (1992) · Zbl 0767.90084 [7] Fulle’r, R.: On stability in fuzzy linear programming problems. Fuzzy sets and systems 30, 339-344 (1989) · Zbl 0704.90101 [8] Hamacher, H.; Leberling, H.; Zimmermann, H. J.: Sensitivity analysis in fuzzy linear programming problem. Fuzzy sets and systems 1, 269-281 (1978) · Zbl 0408.90051 [9] Hwang, C. L.; Masud, A. S. M.: Multiple objective decision making-methods and applications. (1979) · Zbl 0397.90001 [10] Llena, J.: On fuzzy linear programming. European J. Oper. res. 22, 216-223 (1985) · Zbl 0589.90085 [11] Luhandjula, M. K.: Fuzzy approaches for multiple objective linear fractional optimization. Fuzzy sets and systems 13, 11-23 (1984) · Zbl 0546.90094 [12] Nykowski, I.; Zolkiewski, Z.: A compromise procedure for the multiple objective linear fractional programming problem. European J. Oper. res. 19, 91-97 (1985) · Zbl 0555.90098 [13] Sakawa, M.; Yano, H.: An interactive fuzzy satisfying method for multiobjective linear fractional programming problems. Fuzzy sets and systems 28, 129-144 (1988) · Zbl 0654.90089 [14] Sakawa, M.; Yumine, T.: Interactive fuzzy decision making for multiobjective fractional programming problem. Large scale systems 5, 105-114 (1983) · Zbl 0533.90085 [15] Shafai, B.; Sotirov, G.: Uniqueness of solution in FLP under parameter perturbations. Fuzzy sets and systems 34, 179-186 (1990) · Zbl 0692.90093 [16] Tanaka, H.; Ichihashi, H.; Asai, K.: A value of information in FLP problems via sensitivity analysis. Fuzzy sets and systems 18, 119-129 (1986) · Zbl 0601.90098 [17] Zimmermann, H. J.: Description and optimization of fuzzy systems. Internat. J. General systems 2, 209-215 (1976) · Zbl 0338.90055 [18] Zimmermann, H. J.: Fuzzy programming and linear programming with several objective functions. Fuzzy sets and systems 1, 45-55 (1978) · Zbl 0364.90065 [19] Zionts, S.: Programming with linear fractional functionals. Naval res. Logist. quart. 15, 449-451 (1968) · Zbl 0169.51301