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...Sequent calculus for Product propositional logic . . . . . . . . . . 53 6.4 Hypersequent calculus for Product propositional logic . . . . . . 54 7 Nonlinear many valued logics. . . . . . . . . . . . . . . 57 7.1 Hyperbolic logics . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 7.2 Parabolic logics . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 8...

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...completeness, inconsistency, redundancy, contradiction. It is a non-classical logic. Eksioglu (1999) explains some of them: “Imprecision of the human systems is due to the imperfection of knowledge that humain receives (observation) from the external world. Imperfection leads to a doubt about the value of a variable, a decision to be taken or a conclusion to be drawn for t...

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...rets the uninterpretable; - regards, from many different angles, old concepts, systems: showing that an idea, which is true in a given referential s... ... and to make war in the peaceful ideas; - measures the stability of unstable systems, and instability of stable systems. Let's note by <A> an id... ...sical logic. Eksioglu (1999) explains some of them: “Imprecision of the human systems is due to the imperfection of knowledge that humain receives ... ...utionary algorithms which are used “to describe computer-based problem solving systems which employ computational models of some of the known mecha... ...eds need to balance dynamically, they do not exist in isolation but interact in nonlinear ways, both amongst themselves and with their environmental ... ...zzy matrix logic [Yamauchi] but using neutrosophic triples. However due to the nonlinear and nonadditive nature of such value interactions we cannot... ...e is just me and the parts are 100 different personal values. For more complex nonlinear connectives the same principle holds, although the mathemati... ...own problems in the making of decisions [Ha], especially within interconnected nonlinear systems where ‘ceteris paribus’ (all else being equal) rarel... ... notation (especially given the open ended set of possible systems, values and nonlinear interactions as here), but we can attempt to do so in more ...

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...o other sciences. Topics in detail to be covered are: Smarandache multi-spaces with applications to other sciences, such as those of algebraic multi-systems, multi-metric spaces,. . . , etc.. Smarandache geometries; Differential Geometry; Geometry on manifolds; Topological graphs; Algebraic graphs; Random graphs; Combinatorial maps; Graph and map enumeration; Combinator...

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...Duality Theorems of Multiobjective Generalized Disjunctive Fuzzy Nonlinear Fractional Programming Abstract: This paper is concerned with the study of duality conditions to convex-concave generalized multiobjective fuzzy nonlinear fractional disjunctive programming problems for which the d...

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...Contents Duality Theorems of Multiobjective Generalized Disjunctive Fuzzy Nonlinear Fractional Programming BY E.E.AMMAR . . . . . . . . . . . . . . . . . . . . 01 Surface Embeddability of Graphs via Joint Trees BY YANPEI LIU. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1...

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... movements; it reveals that the world is full of indeterminacy; it interprets the uninterpretable; regards, from many different angles, old concepts, systems and proves that an idea which is true in a given referential system, may be false in another, and vice versa; attempts to make peace in the war of ideas, and to make war in the peaceful ideas! The main principle of ne...

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...s the uninterpretable; regards, from many different angles, old concepts, systems and proves that an idea which is true in a given referential syste... ...and far-reaching consequences as a mathematical tool for modeling complex systems. Prof. Bart Kosko, the guru of fuzzy logic, introduced the Fuzzy C... ... has been explained by us, in this book, include: modeling of supervisory systems; design of hybrid models for complex systems; mobile robots and in ... ...ical diagnostics; simulation of strategic planning process in intelligent systems; specific language impairment; web-mining inference application; c... ...cludes the graph-search techniques used in artificial-intelligence expert systems. FCMs feedback allows experts to freely draw causal pictures of ... ...culation of the equilibrium state can be seen as the solution of set of n nonlinear equations. The solutions of this set of equations produce the val... ...re, the CNFCM can be seen as a system that attempts to solve the set of n nonlinear equations, using a simple iterative method employing synchronous ...

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...ries: 54 3.3. No Relativistic Paradoxes in ATR: 55 3.4. Removing Lorentz Factor in ATR: 56 3.5. Physics Laws might not be the same in all Inertial Systems: 58 3.6. Linear Trajectories for Both Observers: 59 3.6.1. Orthogonal Trajectory Vectors: 54 3.6.2. Non-Orthogonal Trajectory Vectors and C as Ultimate Velocity: 59 3.6.3. Non-Orthogonal Trajectory Vectors and Arb...

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...e V/I 54 5 Stability of resistive electrical systems 64 6 Inductance, capacitanc... ...l conductivity q/(dT/dx) 124 10 Stability of heat transfer systems, and summary 127 vi Contents cont. ... ...l problems to be solved in a simple and direct manner, but generally requires that nonlinear problems be solved in an indirect manner. In the new... ...ay be solved with the variables separated. This allows proportional problems and nonlinear problems to be solved in a simple and direct manner. The... ...er. The net result is that the new engineering greatly simplifies the solution of nonlinear problems in general. History of the new engineerin... ...gnized that heat transfer coefficients were not a good way to deal with the highly nonlinear behavior of boiling liquid metal. That recognition res... ... Nucleonics in 1964. It was entitled New Theory of Thermal Stab ility in Boiling Systems . Reaction to the article was swift and definitive. Sev... ...tate: The undersigned, having read New Theory of Thermal Stability in Boiling Systems , conclude that this article must be either a hoax, or th... ...dely accepted Rohsenow correlation are not rigorous because they describe a highly nonlinear relationship. Over the years, other of my articles ...

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...ol and fuzzy control based on FRE 108 4 1.19 A FRE in dynamic fuzzy systems 113 1.20 Solving FRE with a linear objective function 117... ... a characterization of t-norms for fuzzy sets 146 1.26 Solvability criteria for systems of FRE 156 1.27 Infinite FRE to a complete browerian lattice... ... These functions are useful for performing various kinds of simplifications of systems that preserve desirable properties in sets such as ordering ... ...ost important and widely studied problems in the field of fuzzy sets and fuzzy systems. The first step for the resolution of a FRE is to establish ... ...-linear optimization problems. They have presented an optimization model with a nonlinear objective function subject to a system of fuzzy relation e... ...und procedure to find an optimal solution. Here, we focus on problem (2) with a nonlinear objective function and call it a nonlinear optimization pr... ...urpose genetic algorithm, the proposed GAOFRC is designed specially for solving nonlinear optimization problem with fuzzy relation equations is non-... ... Pareto optimal set. We tested some optimization problems with both linear and nonlinear objective functions. For the linear case, we can theoretic... ... where both ϕ (x) and ψ(y) denote the membership functions resulting from these nonlinear transformations of the original fuzzy sets forming the in...

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...ol and fuzzy control based on FRE 108 4 1.19 A FRE in dynamic fuzzy systems 113 1.20 Solving FRE with a linear objective function 117... ... a characterization of t-norms for fuzzy sets 146 1.26 Solvability criteria for systems of FRE 156 1.27 Infinite FRE to a complete browerian lattice... ... These functions are useful for performing various kinds of simplifications of systems that preserve desirable properties in sets such as ordering ... ...ost important and widely studied problems in the field of fuzzy sets and fuzzy systems. The first step for the resolution of a FRE is to establish ... ...-linear optimization problems. They have presented an optimization model with a nonlinear objective function subject to a system of fuzzy relation e... ...und procedure to find an optimal solution. Here, we focus on problem (2) with a nonlinear objective function and call it a nonlinear optimization pr... ...urpose genetic algorithm, the proposed GAOFRC is designed specially for solving nonlinear optimization problem with fuzzy relation equations is non-... ... Pareto optimal set. We tested some optimization problems with both linear and nonlinear objective functions. For the linear case, we can theoretic... ... where both ϕ (x) and ψ(y) denote the membership functions resulting from these nonlinear transformations of the original fuzzy sets forming the in...

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...hys. A: Math. Gen., v. 37, 2004, 931. 4. Nottale L. Computing Anticipatory Systems. CASYS’03 — Sixth International Conference, Li` ege, Belgique, 11–1... ...fed Newtonian Dynamics Carlos Castro Center for Theor. Studies of Physical Systems, Clark Atlanta University, Atlanta, USA E-mail: czarlosromanov@yaho... ...Va- caru [81] where Clifford/spinor structures were defned with respect to Nonlinear connections associated with certain non- holonomic modifcations o... ...iemann-Finsler geometries endowed with non-holonomic structures induced by nonlinear connections and developed the formalism to build a Noncommutative... ... approach to the theory of large distance physics based on certain two-dim nonlinear sigma models has been advanced by Friedan [51]. An Extended Relat... ...e Riemann-Finsler geometry. arXiv: math.DG/0408121. Vacaru S. and Vicol N. Nonlinear connections and Clifford structures. arXiv: math.DG/0205190. Vaca... ...eck C. Spatio-Temporal Vacuum Fluctuations of Quantized Fields Advances in Nonlinear Dynamics, v. 21, World Scien- tifc, Singapore 2000. Chaotic strin... ...os Castro and Matej Pavˇ siˇ c † Center for Theor. Studies of Physical Systems, Clark Atlanta University, Atlanta, USA E-mail: czarlosromanov@yaho... ...olume 1 are given an active interpretation: they relate the objects or the systems of reference in relative translational motion. Analogously also the...

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...lligence, neural networks, evolutionary programming, neutrosophic dynamic systems, and quantum mechanics. Especially in quantum theory there i... ...the uninterpretable; - regards, from many different angles, old concepts, systems: showing that an idea, which is true in a given referential system... ...d to make war in the peaceful ideas; - measures the stability of unstable systems, and instability of stable systems. D) Methods of Neutrosophic S... ...ree < ">. Therefore: For each proposition <P> there are referential systems {R 1 }, {R 2 }, ..., so that <P> looks differently in each of them... ...quence, for any two propositions <M> and <N>, there exist two referential systems {R M } and {R N } respectively, such that <M> and <N> look the same... ... to tend towards what he/she is not able to do. But the movement is nonlinear. <Non-A> has a large range (power of continuum) of "what is not ... ...es with respect to more or less adverse-to-each-other parameters. Hence: nonlinear. Nature's essence, beginning with the atom, consists in the figh... ...the Chaos Theory are in progress to discover order inside of chaos of the nonlinear differential equations. Existence hasn't sense, and yet has...

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...eoclassical economics and classical thermal physics seek to model natural systems in terms of solutions to constrained optimization problems. Both e... ... an indirect but highly efficient method of spectral estimation. In a full nonlinear autoregressive model, quadratic (or higher-order) terms are adde... ...well-specified non-linear H A (De Gooijer and Kumar, 1992). In a nonlinear feedback process, the time series y n is conceptualized as the o... ...s, the time series y n is conceptualized as the output of a circuit with nonlinear feedback, driven by a noise x n . In principle, the coefficients... ... in significant estimation errors. This means that all linear predictive systems tend to break down once a rationalization loop has been generated.... ...gm for Cognitive Science Application in the Design of Artificial Learning Systems. Smarandache Notions Journal, 13, 2002: 43-47. Aronson, E. Diss... ...et as a binary, stochastic system. Journal of Statistics and Management Systems 4, 2001: 137- 145. Bhattacharya, S. and S. Samanta. Exploring ... ...recasting 8, 1992: 135-156. De Jong, K. A. Artificial genetic adaptive systems. Department of Computer Sc. Technical Report No. 76–7. Pittsbur...

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...ich is composed according to unorthodox formulae: “linear verses broken by nonlinear pictures, metaphoric equations of the unusual, abstract systems ... ...oken by nonlinear pictures, metaphoric equations of the unusual, abstract systems of thinking, one second breathings...” (Mathematical literature). ... ...e, the philosophy is an amalgam of counterposed ideas naming antagonistic systems. With one consent and brought to the essence, the paradox develops... ...m. We are requested the awakening from the dogmatic sleep of the imposing systems and styles: to become capable to understand that there is a truth ... ...eans also the restudying of the whole philosophy, the reevaluation of all systems, theories, theories, ideas, contributions of the personalities. The... ... the internal contradictions of objects, phenomena, ideas, communication systems etc. will last, practically, for ever, even though in a permanent ...

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...nd there cannot, therefore, be a universal, or eternal hierarchy. In Western moral systems, the Right to Life supersedes all other rights (includin... ...said subversion. The logical outcome is to call for the overthrow of all political systems, as Michael Bakunin suggested. Governments should theref... ...y to communicate (manipulate vocal-verbal-written symbols within structured symbol systems). Yet, we ignore the fact that using the same symbols do... ...econd Law of Thermodynamics predicts the gradual energetic decay of physical closed systems ("entropy"). Arguably, the Universe as a whole is precis... ... order is often fighting disorder for dominance. In other words, in localized, open systems, order sometimes tends to increase and, by definition, ... ...lowing a kind of Pythagorean tradition) use emergent intuitions in solving general nonlinear equations (by guessing the approximants) or partial di...

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...nd there cannot, therefore, be a universal, or eternal hierarchy. In Western moral systems, the Right to Life supersedes all other rights (includin... ...said subversion. The logical outcome is to call for the overthrow of all political systems, as Michael Bakunin suggested. Governments should theref... ...y to communicate (manipulate vocal-verbal-written symbols within structured symbol systems). Yet, we ignore the fact that using the same symbols do... ...econd Law of Thermodynamics predicts the gradual energetic decay of physical closed systems ("entropy"). Arguably, the Universe as a whole is precis... ... order is often fighting disorder for dominance. In other words, in localized, open systems, order sometimes tends to increase and, by definition, ... ...lowing a kind of Pythagorean tradition) use emergent intuitions in solving general nonlinear equations (by guessing the approximants) or partial di...

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...y (Scotland) [9] and other laboratories around the world. The experimental systems used in these attempts were more sensitive than those of the Weber ... ... zero is a very diffcult task, because the whole equation is a system of 6 nonlinear equa- tions of the 2nd order, in which numerous variables are lin... ...in which numerous variables are linked by relationships (6.13) and (6.14). Systems such as this cannot be solved analytically in general, but we can o... ...undergo changes through the action of a wave of the space curvature. These systems are described by the world-lines deviation equation — the Synge equ... ...ng Constants of Nature Carlos Castro Center for Theor. Studies of Physical Systems, Clark Atlanta University, Atlanta, Georgia, 30314, USA E-mail: cza... ...evaluating these laws in the context of Newtonian mechanics, since the two systems of laws are grounded in different metaphysics. The question then of...