[PDF] Top 20 The Sugeno fuzzy integral of log convex functions
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The Sugeno fuzzy integral of log convex functions
... Aggregation is a process of combining several numerical values into a single one which ex- ists in many disciplines, such as image processing [], pattern recognition [] and decision making [, ]. To obtain a consensus ... See full document
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Hermite-Hadamard type inequality for Sugeno integrals using general (alpha,m,r) - convex functions
... M. Sugeno [17] has introduced the theory of fuzzy measures and fuzzy integrals which has a wide applications in systems and control theory. Since then many authors have studied the various properties ... See full document
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A Class of k-Log-Convex Functions and their Applications to Some Special Functions
... Before verifying Theorem 1 and Theorem 2, we would like to apply them to de- duce some known and new conclusions related to some special functions such as the gamma function, Riemann’s zeta function, complete ... See full document
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Further inequalities for log-convex functions related to Hermite-Hadamard result
... [20] S. S. Dragomir, On the Ostrowski inequality for Riemann-Stieltjes integral R a b f (t) du (t) where f is of H¨ older type and u is of bounded variation and applications, J. KSIAM, 5 (1), pp. 35-45, (2001). ... See full document
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Extension of the fuzzy integral for general fuzzy set valued information
... Abstract—The fuzzy integral (FI) is an extremely flexible aggregation ...and fuzzy measure (FM) for the case of higher-order uncertain information (both integrand and ...on fuzzy number- (FN), ... See full document
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Refinement of integral inequalities for monotone functions
... Abstract In this paper, we give refinements of some inequalities for generalized monotone functions by using log-convexity of some functionals.. Keywords: convex function; log-convex func[r] ... See full document
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Refinements of the Hermite-Hadamard Integral Inequality for Log-Convex Functions
... where G (p, q) := √ pq is the geometric mean and L (p, q) := ln p p − − q ln q (p 6 = q) is the logarithmic mean of the positive real numbers p, q (for p = q, we put L (p, p) = p). In this paper we prove another ... See full document
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The Choquet integral of log convex functions
... Choquet integral for log-convex functions, it is natural to consider how to use them to estimate unsolvable integrals of this ...Choquet integral of the log-convex ... See full document
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Integral Inequalities via Generalized Geometrically r-Convex Functions
... generalized convex function, which is known as generalized geometrically r-convex ...Hadamard integral inequalities for these nonconvex ...type integral inequalities for other classes of ... See full document
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Integral inequalities for some convex functions via generalized fractional integrals
... Since the Hermite–Hadamard inequality has many applications, many authors gener- alized this inequality. The Hermite–Hadamard inequality is also established for several kinds of convex functions. For more ... See full document
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A note on geometrically convex functions
... It was first discovered by Hermite in in the Journal Mathesis (see []). Inequality (.) was nowhere mentioned in the mathematical literature until . Beckenbach, a leading expert on the theory of convex ... See full document
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New Integral Inequalities via Harmonically Convex Functions
... new integral inequalities related to harmonically convex ...new integral inequalities, see [1, 3, 4, 5, 6, 7, 11, 13, 15] and plenty of references ... See full document
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New general integral inequalities for quasi geometrically convex functions via fractional integrals
... quasi-geometrically convex functions, gives Hermite-Hadamard’s inequalities for GA-convex functions in fractional integral forms and defines a new identity for fractional ... See full document
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Fractional Hermite–Hadamard inequalities for \((s,m)\) convex or s concave functions
... m)-convex functions in the second sense as follows: A mapping f : I ⊆ R + = [0, ∞ ) → R is said to be (s, m)-convex in the second sense on I if the ... See full document
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New integral inequalities for $s$-preinvex functions
... In [6] Liu discussed the cases where certain power of the modulus of the function f is quasi- convex, and (α, m)-convex. Also he established in [7] the estimate of the left hand side of (1.1) in the case ... See full document
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Indoor Air Quality Monitoring System With Fuzzy Logic Control Based On IOT
... in fuzzy logic theory is to map input space into output space using IF-THEN rules ...complete fuzzy rule-based system consists of three main components: Fuzzification, Inference and ...proposed fuzzy ... See full document
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Integral Inequalities of Hermite Hadamard Type for r Convex Functions
... [4] M. K. Bakula, M. E. Özdemir and J. Pečarić, “Hadamard Type Inequalities for m-Convex and (α−m)-Convex Functions,” Journal of Inequalities in Pure and Applied Mathematics, Vol. 9, No. 4, 2008, ... See full document
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24. The komatu integral operator and strongly close-to-convex functions
... for some (0 < 1) and (0 < 1), then we say that f (z) is strongly convex of order and type in U . We denote this class by C( ; ) (see also Liu [10] and Nunokawa [14]). In particular, the classes S ( ; 0) and ... See full document
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Inclusion relations for certain families of integral operators associated with conic regions
... In this paper, we have defined some new classes of analytic functions involving integral op- erators. We have shown that these classes generalize the well-known classes, and already existing results can be ... See full document
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AN EFFECTIVE TECHNIQUE FOR BRAIN TUMOUR SEGMENTATION AND DETECTION USING CUCKOO BASED NEURO FUZZY CLASSIFIER
... in fuzzy integrals we have fuzzy measure, the divergence between them is non- additively, in fuzzy integrals we have additive and non additive but in classic integral we have additive ...DM ... See full document
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